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Finding the Fourth Proportional to 117.42, 174.90 and 114.72

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Solution

The fourth proportional to 117.42, 174.90 and 114.72 is: 170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.42 : 174.90 = 114.72 : x
  2. Step 2: Convert to fraction form
    117.42/174.90 = 114.72/x
  3. Step 3: Cross multiply
    117.42x = 174.90 × 114.72
  4. Step 4: Simplify right side
    117.42x = 20,064.53
  5. Step 5: Solve for x
    x = 20,064.53/117.42
  6. Step 6: Final answer
    x = 170.88

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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.