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Finding the Fourth Proportional to 114.38, 171.66 and 78.38

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Solution

The fourth proportional to 114.38, 171.66 and 78.38 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.38 : 171.66 = 78.38 : x
  2. Step 2: Convert to fraction form
    114.38/171.66 = 78.38/x
  3. Step 3: Cross multiply
    114.38x = 171.66 × 78.38
  4. Step 4: Simplify right side
    114.38x = 13,454.71
  5. Step 5: Solve for x
    x = 13,454.71/114.38
  6. Step 6: Final answer
    x = 117.63

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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.