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Finding the Fourth Proportional to 403.59, 557.07 and 237.81

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Solution

The fourth proportional to 403.59, 557.07 and 237.81 is: 328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.59 : 557.07 = 237.81 : x
  2. Step 2: Convert to fraction form
    403.59/557.07 = 237.81/x
  3. Step 3: Cross multiply
    403.59x = 557.07 × 237.81
  4. Step 4: Simplify right side
    403.59x = 132,476.82
  5. Step 5: Solve for x
    x = 132,476.82/403.59
  6. Step 6: Final answer
    x = 328.25

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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.