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Finding the Fourth Proportional to 117, 162.15 and 115.20

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Solution

The fourth proportional to 117, 162.15 and 115.20 is: 159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 162.15 = 115.20 : x
  2. Step 2: Convert to fraction form
    117/162.15 = 115.20/x
  3. Step 3: Cross multiply
    117x = 162.15 × 115.20
  4. Step 4: Simplify right side
    117x = 18,679.68
  5. Step 5: Solve for x
    x = 18,679.68/117
  6. Step 6: Final answer
    x = 159.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.