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Finding the Fourth Proportional to 403.64, 557.12 and 237.86

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Solution

The fourth proportional to 403.64, 557.12 and 237.86 is: 328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.64 : 557.12 = 237.86 : x
  2. Step 2: Convert to fraction form
    403.64/557.12 = 237.86/x
  3. Step 3: Cross multiply
    403.64x = 557.12 × 237.86
  4. Step 4: Simplify right side
    403.64x = 132,516.56
  5. Step 5: Solve for x
    x = 132,516.56/403.64
  6. Step 6: Final answer
    x = 328.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.