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Finding the Fourth Proportional to 118.54, 178 and 77.93

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Solution

The fourth proportional to 118.54, 178 and 77.93 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.54 : 178 = 77.93 : x
  2. Step 2: Convert to fraction form
    118.54/178 = 77.93/x
  3. Step 3: Cross multiply
    118.54x = 178 × 77.93
  4. Step 4: Simplify right side
    118.54x = 13,871.54
  5. Step 5: Solve for x
    x = 13,871.54/118.54
  6. Step 6: Final answer
    x = 117.02

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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.