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Finding the Fourth Proportional to 117.41, 176.91 and 97.57

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Solution

The fourth proportional to 117.41, 176.91 and 97.57 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.41 : 176.91 = 97.57 : x
  2. Step 2: Convert to fraction form
    117.41/176.91 = 97.57/x
  3. Step 3: Cross multiply
    117.41x = 176.91 × 97.57
  4. Step 4: Simplify right side
    117.41x = 17,261.11
  5. Step 5: Solve for x
    x = 17,261.11/117.41
  6. Step 6: Final answer
    x = 147.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.