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Finding the Fourth Proportional to 151.22, 225.55 and 142.81

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Solution

The fourth proportional to 151.22, 225.55 and 142.81 is: 213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.22 : 225.55 = 142.81 : x
  2. Step 2: Convert to fraction form
    151.22/225.55 = 142.81/x
  3. Step 3: Cross multiply
    151.22x = 225.55 × 142.81
  4. Step 4: Simplify right side
    151.22x = 32,210.41
  5. Step 5: Solve for x
    x = 32,210.41/151.22
  6. Step 6: Final answer
    x = 213.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.