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Finding the Fourth Proportional to 146.55, 202.16 and 115.41

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Solution

The fourth proportional to 146.55, 202.16 and 115.41 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.55 : 202.16 = 115.41 : x
  2. Step 2: Convert to fraction form
    146.55/202.16 = 115.41/x
  3. Step 3: Cross multiply
    146.55x = 202.16 × 115.41
  4. Step 4: Simplify right side
    146.55x = 23,331.29
  5. Step 5: Solve for x
    x = 23,331.29/146.55
  6. Step 6: Final answer
    x = 159.20

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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.