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Finding the Fourth Proportional to 364.92, 547.45 and 118.13

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Solution

The fourth proportional to 364.92, 547.45 and 118.13 is: 177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 547.45 = 118.13 : x
  2. Step 2: Convert to fraction form
    364.92/547.45 = 118.13/x
  3. Step 3: Cross multiply
    364.92x = 547.45 × 118.13
  4. Step 4: Simplify right side
    364.92x = 64,671.78
  5. Step 5: Solve for x
    x = 64,671.78/364.92
  6. Step 6: Final answer
    x = 177.22

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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.