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Finding the Fourth Proportional to 151.04, 227.84 and 142.16

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Solution

The fourth proportional to 151.04, 227.84 and 142.16 is: 214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.04 : 227.84 = 142.16 : x
  2. Step 2: Convert to fraction form
    151.04/227.84 = 142.16/x
  3. Step 3: Cross multiply
    151.04x = 227.84 × 142.16
  4. Step 4: Simplify right side
    151.04x = 32,389.73
  5. Step 5: Solve for x
    x = 32,389.73/151.04
  6. Step 6: Final answer
    x = 214.44

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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.