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Finding the Fourth Proportional to 331.98, 494.58 and 316.50

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Solution

The fourth proportional to 331.98, 494.58 and 316.50 is: 471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.98 : 494.58 = 316.50 : x
  2. Step 2: Convert to fraction form
    331.98/494.58 = 316.50/x
  3. Step 3: Cross multiply
    331.98x = 494.58 × 316.50
  4. Step 4: Simplify right side
    331.98x = 156,534.57
  5. Step 5: Solve for x
    x = 156,534.57/331.98
  6. Step 6: Final answer
    x = 471.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.