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Finding the Fourth Proportional to 117.40, 176.16 and 76.78

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Solution

The fourth proportional to 117.40, 176.16 and 76.78 is: 115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.40 : 176.16 = 76.78 : x
  2. Step 2: Convert to fraction form
    117.40/176.16 = 76.78/x
  3. Step 3: Cross multiply
    117.40x = 176.16 × 76.78
  4. Step 4: Simplify right side
    117.40x = 13,525.56
  5. Step 5: Solve for x
    x = 13,525.56/117.40
  6. Step 6: Final answer
    x = 115.21

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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.