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Finding the Fourth Proportional to 118.02, 177.06 and 57.15

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Solution

The fourth proportional to 118.02, 177.06 and 57.15 is: 85.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.02 : 177.06 = 57.15 : x
  2. Step 2: Convert to fraction form
    118.02/177.06 = 57.15/x
  3. Step 3: Cross multiply
    118.02x = 177.06 × 57.15
  4. Step 4: Simplify right side
    118.02x = 10,118.98
  5. Step 5: Solve for x
    x = 10,118.98/118.02
  6. Step 6: Final answer
    x = 85.74

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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.