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Finding the Fourth Proportional to 115.86, 174.42 and 100.98

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Solution

The fourth proportional to 115.86, 174.42 and 100.98 is: 152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.86 : 174.42 = 100.98 : x
  2. Step 2: Convert to fraction form
    115.86/174.42 = 100.98/x
  3. Step 3: Cross multiply
    115.86x = 174.42 × 100.98
  4. Step 4: Simplify right side
    115.86x = 17,612.93
  5. Step 5: Solve for x
    x = 17,612.93/115.86
  6. Step 6: Final answer
    x = 152.02

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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.