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Finding the Fourth Proportional to 151.93, 226.80 and 145.28

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Solution

The fourth proportional to 151.93, 226.80 and 145.28 is: 216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.93 : 226.80 = 145.28 : x
  2. Step 2: Convert to fraction form
    151.93/226.80 = 145.28/x
  3. Step 3: Cross multiply
    151.93x = 226.80 × 145.28
  4. Step 4: Simplify right side
    151.93x = 32,949.50
  5. Step 5: Solve for x
    x = 32,949.50/151.93
  6. Step 6: Final answer
    x = 216.87

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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.