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Finding the Fourth Proportional to 115.98, 174.62 and 90.45

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Solution

The fourth proportional to 115.98, 174.62 and 90.45 is: 136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.98 : 174.62 = 90.45 : x
  2. Step 2: Convert to fraction form
    115.98/174.62 = 90.45/x
  3. Step 3: Cross multiply
    115.98x = 174.62 × 90.45
  4. Step 4: Simplify right side
    115.98x = 15,793.93
  5. Step 5: Solve for x
    x = 15,793.93/115.98
  6. Step 6: Final answer
    x = 136.18

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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.