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Finding the Fourth Proportional to 657.32, 985.78 and 224.38

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Solution

The fourth proportional to 657.32, 985.78 and 224.38 is: 336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.32 : 985.78 = 224.38 : x
  2. Step 2: Convert to fraction form
    657.32/985.78 = 224.38/x
  3. Step 3: Cross multiply
    657.32x = 985.78 × 224.38
  4. Step 4: Simplify right side
    657.32x = 221,183.27
  5. Step 5: Solve for x
    x = 221,183.27/657.32
  6. Step 6: Final answer
    x = 336.49

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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.