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Finding the Fourth Proportional to 153.02, 230.42 and 114.78

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Solution

The fourth proportional to 153.02, 230.42 and 114.78 is: 172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.02 : 230.42 = 114.78 : x
  2. Step 2: Convert to fraction form
    153.02/230.42 = 114.78/x
  3. Step 3: Cross multiply
    153.02x = 230.42 × 114.78
  4. Step 4: Simplify right side
    153.02x = 26,447.61
  5. Step 5: Solve for x
    x = 26,447.61/153.02
  6. Step 6: Final answer
    x = 172.84

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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.