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Finding the Fourth Proportional to 442.77, 610.56 and 319.02

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Solution

The fourth proportional to 442.77, 610.56 and 319.02 is: 439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.77 : 610.56 = 319.02 : x
  2. Step 2: Convert to fraction form
    442.77/610.56 = 319.02/x
  3. Step 3: Cross multiply
    442.77x = 610.56 × 319.02
  4. Step 4: Simplify right side
    442.77x = 194,780.85
  5. Step 5: Solve for x
    x = 194,780.85/442.77
  6. Step 6: Final answer
    x = 439.91

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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.