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Finding the Fourth Proportional to 118.58, 177.72 and 72.99

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Solution

The fourth proportional to 118.58, 177.72 and 72.99 is: 109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.58 : 177.72 = 72.99 : x
  2. Step 2: Convert to fraction form
    118.58/177.72 = 72.99/x
  3. Step 3: Cross multiply
    118.58x = 177.72 × 72.99
  4. Step 4: Simplify right side
    118.58x = 12,971.78
  5. Step 5: Solve for x
    x = 12,971.78/118.58
  6. Step 6: Final answer
    x = 109.40

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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.