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Finding the Fourth Proportional to 392.34, 590.70 and 284.88

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Solution

The fourth proportional to 392.34, 590.70 and 284.88 is: 428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.34 : 590.70 = 284.88 : x
  2. Step 2: Convert to fraction form
    392.34/590.70 = 284.88/x
  3. Step 3: Cross multiply
    392.34x = 590.70 × 284.88
  4. Step 4: Simplify right side
    392.34x = 168,278.62
  5. Step 5: Solve for x
    x = 168,278.62/392.34
  6. Step 6: Final answer
    x = 428.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.