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Finding the Fourth Proportional to 151.66, 228.61 and 142.85

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Solution

The fourth proportional to 151.66, 228.61 and 142.85 is: 215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.66 : 228.61 = 142.85 : x
  2. Step 2: Convert to fraction form
    151.66/228.61 = 142.85/x
  3. Step 3: Cross multiply
    151.66x = 228.61 × 142.85
  4. Step 4: Simplify right side
    151.66x = 32,656.94
  5. Step 5: Solve for x
    x = 32,656.94/151.66
  6. Step 6: Final answer
    x = 215.33

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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.