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Finding the Fourth Proportional to 442.98, 611.46 and 291.66

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Solution

The fourth proportional to 442.98, 611.46 and 291.66 is: 402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.98 : 611.46 = 291.66 : x
  2. Step 2: Convert to fraction form
    442.98/611.46 = 291.66/x
  3. Step 3: Cross multiply
    442.98x = 611.46 × 291.66
  4. Step 4: Simplify right side
    442.98x = 178,338.42
  5. Step 5: Solve for x
    x = 178,338.42/442.98
  6. Step 6: Final answer
    x = 402.59

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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.