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Finding the Fourth Proportional to 152.23, 209.77 and 125.93

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Solution

The fourth proportional to 152.23, 209.77 and 125.93 is: 173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.23 : 209.77 = 125.93 : x
  2. Step 2: Convert to fraction form
    152.23/209.77 = 125.93/x
  3. Step 3: Cross multiply
    152.23x = 209.77 × 125.93
  4. Step 4: Simplify right side
    152.23x = 26,414.97
  5. Step 5: Solve for x
    x = 26,414.97/152.23
  6. Step 6: Final answer
    x = 173.52

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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.