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Finding the Fourth Proportional to 114.40, 171.28 and 78.32

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Solution

The fourth proportional to 114.40, 171.28 and 78.32 is: 117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.40 : 171.28 = 78.32 : x
  2. Step 2: Convert to fraction form
    114.40/171.28 = 78.32/x
  3. Step 3: Cross multiply
    114.40x = 171.28 × 78.32
  4. Step 4: Simplify right side
    114.40x = 13,414.65
  5. Step 5: Solve for x
    x = 13,414.65/114.40
  6. Step 6: Final answer
    x = 117.26

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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.