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Finding the Fourth Proportional to 409.52, 562.82 and 368.52

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Solution

The fourth proportional to 409.52, 562.82 and 368.52 is: 506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.52 : 562.82 = 368.52 : x
  2. Step 2: Convert to fraction form
    409.52/562.82 = 368.52/x
  3. Step 3: Cross multiply
    409.52x = 562.82 × 368.52
  4. Step 4: Simplify right side
    409.52x = 207,406.47
  5. Step 5: Solve for x
    x = 207,406.47/409.52
  6. Step 6: Final answer
    x = 506.46

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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.