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Finding the Fourth Proportional to 111.32, 166.88 and 39.12

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Solution

The fourth proportional to 111.32, 166.88 and 39.12 is: 58.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.32 : 166.88 = 39.12 : x
  2. Step 2: Convert to fraction form
    111.32/166.88 = 39.12/x
  3. Step 3: Cross multiply
    111.32x = 166.88 × 39.12
  4. Step 4: Simplify right side
    111.32x = 6,528.35
  5. Step 5: Solve for x
    x = 6,528.35/111.32
  6. Step 6: Final answer
    x = 58.64

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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.