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Finding the Fourth Proportional to 115.78, 160.02 and 102.57

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Solution

The fourth proportional to 115.78, 160.02 and 102.57 is: 141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.78 : 160.02 = 102.57 : x
  2. Step 2: Convert to fraction form
    115.78/160.02 = 102.57/x
  3. Step 3: Cross multiply
    115.78x = 160.02 × 102.57
  4. Step 4: Simplify right side
    115.78x = 16,413.25
  5. Step 5: Solve for x
    x = 16,413.25/115.78
  6. Step 6: Final answer
    x = 141.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.