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Finding the Fourth Proportional to 117.46, 176.19 and 51.56

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Solution

The fourth proportional to 117.46, 176.19 and 51.56 is: 77.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.46 : 176.19 = 51.56 : x
  2. Step 2: Convert to fraction form
    117.46/176.19 = 51.56/x
  3. Step 3: Cross multiply
    117.46x = 176.19 × 51.56
  4. Step 4: Simplify right side
    117.46x = 9,084.10
  5. Step 5: Solve for x
    x = 9,084.10/117.46
  6. Step 6: Final answer
    x = 77.34

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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.