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Finding the Fourth Proportional to 152.54, 209.15 and 150.95

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Solution

The fourth proportional to 152.54, 209.15 and 150.95 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.54 : 209.15 = 150.95 : x
  2. Step 2: Convert to fraction form
    152.54/209.15 = 150.95/x
  3. Step 3: Cross multiply
    152.54x = 209.15 × 150.95
  4. Step 4: Simplify right side
    152.54x = 31,569.39
  5. Step 5: Solve for x
    x = 31,569.39/152.54
  6. Step 6: Final answer
    x = 206.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.