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Finding the Fourth Proportional to 117.24, 160.78 and 115.08

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Solution

The fourth proportional to 117.24, 160.78 and 115.08 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 160.78 = 115.08 : x
  2. Step 2: Convert to fraction form
    117.24/160.78 = 115.08/x
  3. Step 3: Cross multiply
    117.24x = 160.78 × 115.08
  4. Step 4: Simplify right side
    117.24x = 18,502.56
  5. Step 5: Solve for x
    x = 18,502.56/117.24
  6. Step 6: Final answer
    x = 157.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.