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Finding the Fourth Proportional to 117.70, 176.23 and 101.40

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Solution

The fourth proportional to 117.70, 176.23 and 101.40 is: 151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.70 : 176.23 = 101.40 : x
  2. Step 2: Convert to fraction form
    117.70/176.23 = 101.40/x
  3. Step 3: Cross multiply
    117.70x = 176.23 × 101.40
  4. Step 4: Simplify right side
    117.70x = 17,869.72
  5. Step 5: Solve for x
    x = 17,869.72/117.70
  6. Step 6: Final answer
    x = 151.82

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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.