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Finding the Fourth Proportional to 250.30, 345.42 and 152.06

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Solution

The fourth proportional to 250.30, 345.42 and 152.06 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.30 : 345.42 = 152.06 : x
  2. Step 2: Convert to fraction form
    250.30/345.42 = 152.06/x
  3. Step 3: Cross multiply
    250.30x = 345.42 × 152.06
  4. Step 4: Simplify right side
    250.30x = 52,524.57
  5. Step 5: Solve for x
    x = 52,524.57/250.30
  6. Step 6: Final answer
    x = 209.85

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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.