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Finding the Fourth Proportional to 442.62, 610.65 and 311.58

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Solution

The fourth proportional to 442.62, 610.65 and 311.58 is: 429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.62 : 610.65 = 311.58 : x
  2. Step 2: Convert to fraction form
    442.62/610.65 = 311.58/x
  3. Step 3: Cross multiply
    442.62x = 610.65 × 311.58
  4. Step 4: Simplify right side
    442.62x = 190,266.33
  5. Step 5: Solve for x
    x = 190,266.33/442.62
  6. Step 6: Final answer
    x = 429.86

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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.