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Finding the Fourth Proportional to 316.46, 474.90 and 111.03

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Solution

The fourth proportional to 316.46, 474.90 and 111.03 is: 166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.46 : 474.90 = 111.03 : x
  2. Step 2: Convert to fraction form
    316.46/474.90 = 111.03/x
  3. Step 3: Cross multiply
    316.46x = 474.90 × 111.03
  4. Step 4: Simplify right side
    316.46x = 52,728.42
  5. Step 5: Solve for x
    x = 52,728.42/316.46
  6. Step 6: Final answer
    x = 166.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.