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Finding the Fourth Proportional to 319.46, 442.57 and 311.90

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Solution

The fourth proportional to 319.46, 442.57 and 311.90 is: 432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.46 : 442.57 = 311.90 : x
  2. Step 2: Convert to fraction form
    319.46/442.57 = 311.90/x
  3. Step 3: Cross multiply
    319.46x = 442.57 × 311.90
  4. Step 4: Simplify right side
    319.46x = 138,037.58
  5. Step 5: Solve for x
    x = 138,037.58/319.46
  6. Step 6: Final answer
    x = 432.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.