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Finding the Fourth Proportional to 151.25, 228.14 and 146.39

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Solution

The fourth proportional to 151.25, 228.14 and 146.39 is: 220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.25 : 228.14 = 146.39 : x
  2. Step 2: Convert to fraction form
    151.25/228.14 = 146.39/x
  3. Step 3: Cross multiply
    151.25x = 228.14 × 146.39
  4. Step 4: Simplify right side
    151.25x = 33,396.09
  5. Step 5: Solve for x
    x = 33,396.09/151.25
  6. Step 6: Final answer
    x = 220.81

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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.