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Finding the Fourth Proportional to 117.55, 175.63 and 115.39

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Solution

The fourth proportional to 117.55, 175.63 and 115.39 is: 172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.55 : 175.63 = 115.39 : x
  2. Step 2: Convert to fraction form
    117.55/175.63 = 115.39/x
  3. Step 3: Cross multiply
    117.55x = 175.63 × 115.39
  4. Step 4: Simplify right side
    117.55x = 20,265.95
  5. Step 5: Solve for x
    x = 20,265.95/117.55
  6. Step 6: Final answer
    x = 172.40

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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.