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Finding the Fourth Proportional to 409.38, 564.78 and 283.32

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Solution

The fourth proportional to 409.38, 564.78 and 283.32 is: 390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 564.78 = 283.32 : x
  2. Step 2: Convert to fraction form
    409.38/564.78 = 283.32/x
  3. Step 3: Cross multiply
    409.38x = 564.78 × 283.32
  4. Step 4: Simplify right side
    409.38x = 160,013.47
  5. Step 5: Solve for x
    x = 160,013.47/409.38
  6. Step 6: Final answer
    x = 390.87

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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.