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Finding the Fourth Proportional to 149.93, 206.95 and 87.76

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Solution

The fourth proportional to 149.93, 206.95 and 87.76 is: 121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.93 : 206.95 = 87.76 : x
  2. Step 2: Convert to fraction form
    149.93/206.95 = 87.76/x
  3. Step 3: Cross multiply
    149.93x = 206.95 × 87.76
  4. Step 4: Simplify right side
    149.93x = 18,161.20
  5. Step 5: Solve for x
    x = 18,161.20/149.93
  6. Step 6: Final answer
    x = 121.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.