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Finding the Fourth Proportional to 151.71, 228.91 and 146.09

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Solution

The fourth proportional to 151.71, 228.91 and 146.09 is: 220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.71 : 228.91 = 146.09 : x
  2. Step 2: Convert to fraction form
    151.71/228.91 = 146.09/x
  3. Step 3: Cross multiply
    151.71x = 228.91 × 146.09
  4. Step 4: Simplify right side
    151.71x = 33,441.83
  5. Step 5: Solve for x
    x = 33,441.83/151.71
  6. Step 6: Final answer
    x = 220.43

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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.