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Finding the Fourth Proportional to 810.98, 1,216.10 and 233.72

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Solution

The fourth proportional to 810.98, 1,216.10 and 233.72 is: 350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.98 : 1,216.10 = 233.72 : x
  2. Step 2: Convert to fraction form
    810.98/1,216.10 = 233.72/x
  3. Step 3: Cross multiply
    810.98x = 1,216.10 × 233.72
  4. Step 4: Simplify right side
    810.98x = 284,220.23
  5. Step 5: Solve for x
    x = 284,220.23/810.98
  6. Step 6: Final answer
    x = 350.47

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Double scale
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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.