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Finding the Fourth Proportional to 152.06, 209.86 and 105.42

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Solution

The fourth proportional to 152.06, 209.86 and 105.42 is: 145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.06 : 209.86 = 105.42 : x
  2. Step 2: Convert to fraction form
    152.06/209.86 = 105.42/x
  3. Step 3: Cross multiply
    152.06x = 209.86 × 105.42
  4. Step 4: Simplify right side
    152.06x = 22,123.44
  5. Step 5: Solve for x
    x = 22,123.44/152.06
  6. Step 6: Final answer
    x = 145.49

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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.