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Finding the Fourth Proportional to 117.42, 175.35 and 116.15

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Solution

The fourth proportional to 117.42, 175.35 and 116.15 is: 173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.42 : 175.35 = 116.15 : x
  2. Step 2: Convert to fraction form
    117.42/175.35 = 116.15/x
  3. Step 3: Cross multiply
    117.42x = 175.35 × 116.15
  4. Step 4: Simplify right side
    117.42x = 20,366.68
  5. Step 5: Solve for x
    x = 20,366.68/117.42
  6. Step 6: Final answer
    x = 173.45

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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.