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Finding the Fourth Proportional to 151.96, 228.01 and 74.99

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Solution

The fourth proportional to 151.96, 228.01 and 74.99 is: 112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.96 : 228.01 = 74.99 : x
  2. Step 2: Convert to fraction form
    151.96/228.01 = 74.99/x
  3. Step 3: Cross multiply
    151.96x = 228.01 × 74.99
  4. Step 4: Simplify right side
    151.96x = 17,098.47
  5. Step 5: Solve for x
    x = 17,098.47/151.96
  6. Step 6: Final answer
    x = 112.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.