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Finding the Fourth Proportional to 151.80, 228.84 and 141.36

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Solution

The fourth proportional to 151.80, 228.84 and 141.36 is: 213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.80 : 228.84 = 141.36 : x
  2. Step 2: Convert to fraction form
    151.80/228.84 = 141.36/x
  3. Step 3: Cross multiply
    151.80x = 228.84 × 141.36
  4. Step 4: Simplify right side
    151.80x = 32,348.82
  5. Step 5: Solve for x
    x = 32,348.82/151.80
  6. Step 6: Final answer
    x = 213.10

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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.