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Finding the Fourth Proportional to 147.02, 202.92 and 114.17

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Solution

The fourth proportional to 147.02, 202.92 and 114.17 is: 157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.02 : 202.92 = 114.17 : x
  2. Step 2: Convert to fraction form
    147.02/202.92 = 114.17/x
  3. Step 3: Cross multiply
    147.02x = 202.92 × 114.17
  4. Step 4: Simplify right side
    147.02x = 23,167.38
  5. Step 5: Solve for x
    x = 23,167.38/147.02
  6. Step 6: Final answer
    x = 157.58

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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.