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Finding the Fourth Proportional to 439, 606.12 and 284.02

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Solution

The fourth proportional to 439, 606.12 and 284.02 is: 392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    439 : 606.12 = 284.02 : x
  2. Step 2: Convert to fraction form
    439/606.12 = 284.02/x
  3. Step 3: Cross multiply
    439x = 606.12 × 284.02
  4. Step 4: Simplify right side
    439x = 172,150.20
  5. Step 5: Solve for x
    x = 172,150.20/439
  6. Step 6: Final answer
    x = 392.14

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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.