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Finding the Fourth Proportional to 114.60, 170.91 and 102.76

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Solution

The fourth proportional to 114.60, 170.91 and 102.76 is: 153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.60 : 170.91 = 102.76 : x
  2. Step 2: Convert to fraction form
    114.60/170.91 = 102.76/x
  3. Step 3: Cross multiply
    114.60x = 170.91 × 102.76
  4. Step 4: Simplify right side
    114.60x = 17,562.71
  5. Step 5: Solve for x
    x = 17,562.71/114.60
  6. Step 6: Final answer
    x = 153.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.