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Finding the Fourth Proportional to 146.90, 202.50 and 115.86

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Solution

The fourth proportional to 146.90, 202.50 and 115.86 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.90 : 202.50 = 115.86 : x
  2. Step 2: Convert to fraction form
    146.90/202.50 = 115.86/x
  3. Step 3: Cross multiply
    146.90x = 202.50 × 115.86
  4. Step 4: Simplify right side
    146.90x = 23,461.65
  5. Step 5: Solve for x
    x = 23,461.65/146.90
  6. Step 6: Final answer
    x = 159.71

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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.