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Finding the Fourth Proportional to 151.76, 228.65 and 137.33

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Solution

The fourth proportional to 151.76, 228.65 and 137.33 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.76 : 228.65 = 137.33 : x
  2. Step 2: Convert to fraction form
    151.76/228.65 = 137.33/x
  3. Step 3: Cross multiply
    151.76x = 228.65 × 137.33
  4. Step 4: Simplify right side
    151.76x = 31,398.67
  5. Step 5: Solve for x
    x = 31,398.67/151.76
  6. Step 6: Final answer
    x = 206.90

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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.