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Finding the Fourth Proportional to 657.40, 986.10 and 272.68

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Solution

The fourth proportional to 657.40, 986.10 and 272.68 is: 409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.40 : 986.10 = 272.68 : x
  2. Step 2: Convert to fraction form
    657.40/986.10 = 272.68/x
  3. Step 3: Cross multiply
    657.40x = 986.10 × 272.68
  4. Step 4: Simplify right side
    657.40x = 268,889.75
  5. Step 5: Solve for x
    x = 268,889.75/657.40
  6. Step 6: Final answer
    x = 409.02

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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.