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Finding the Fourth Proportional to 415.81, 569.66 and 400.24

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Solution

The fourth proportional to 415.81, 569.66 and 400.24 is: 548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.81 : 569.66 = 400.24 : x
  2. Step 2: Convert to fraction form
    415.81/569.66 = 400.24/x
  3. Step 3: Cross multiply
    415.81x = 569.66 × 400.24
  4. Step 4: Simplify right side
    415.81x = 227,998.79
  5. Step 5: Solve for x
    x = 227,998.79/415.81
  6. Step 6: Final answer
    x = 548.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.