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Finding the Fourth Proportional to 442.83, 611.17 and 318.90

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Solution

The fourth proportional to 442.83, 611.17 and 318.90 is: 440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.83 : 611.17 = 318.90 : x
  2. Step 2: Convert to fraction form
    442.83/611.17 = 318.90/x
  3. Step 3: Cross multiply
    442.83x = 611.17 × 318.90
  4. Step 4: Simplify right side
    442.83x = 194,902.11
  5. Step 5: Solve for x
    x = 194,902.11/442.83
  6. Step 6: Final answer
    x = 440.13

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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.