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Finding the Fourth Proportional to 151.49, 228.18 and 142.80

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Solution

The fourth proportional to 151.49, 228.18 and 142.80 is: 215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.49 : 228.18 = 142.80 : x
  2. Step 2: Convert to fraction form
    151.49/228.18 = 142.80/x
  3. Step 3: Cross multiply
    151.49x = 228.18 × 142.80
  4. Step 4: Simplify right side
    151.49x = 32,583.57
  5. Step 5: Solve for x
    x = 32,583.57/151.49
  6. Step 6: Final answer
    x = 215.09

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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.