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Finding the Fourth Proportional to 442.16, 609.86 and 284.79

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Solution

The fourth proportional to 442.16, 609.86 and 284.79 is: 392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.16 : 609.86 = 284.79 : x
  2. Step 2: Convert to fraction form
    442.16/609.86 = 284.79/x
  3. Step 3: Cross multiply
    442.16x = 609.86 × 284.79
  4. Step 4: Simplify right side
    442.16x = 173,680.61
  5. Step 5: Solve for x
    x = 173,680.61/442.16
  6. Step 6: Final answer
    x = 392.80

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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.