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Finding the Fourth Proportional to 118.24, 177.52 and 72.64

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Solution

The fourth proportional to 118.24, 177.52 and 72.64 is: 109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.24 : 177.52 = 72.64 : x
  2. Step 2: Convert to fraction form
    118.24/177.52 = 72.64/x
  3. Step 3: Cross multiply
    118.24x = 177.52 × 72.64
  4. Step 4: Simplify right side
    118.24x = 12,895.05
  5. Step 5: Solve for x
    x = 12,895.05/118.24
  6. Step 6: Final answer
    x = 109.06

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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.