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Finding the Fourth Proportional to 657.78, 986.84 and 219.10

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Solution

The fourth proportional to 657.78, 986.84 and 219.10 is: 328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.78 : 986.84 = 219.10 : x
  2. Step 2: Convert to fraction form
    657.78/986.84 = 219.10/x
  3. Step 3: Cross multiply
    657.78x = 986.84 × 219.10
  4. Step 4: Simplify right side
    657.78x = 216,216.99
  5. Step 5: Solve for x
    x = 216,216.99/657.78
  6. Step 6: Final answer
    x = 328.71

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.