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Finding the Fourth Proportional to 250.75, 345.67 and 176.95

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Solution

The fourth proportional to 250.75, 345.67 and 176.95 is: 243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.75 : 345.67 = 176.95 : x
  2. Step 2: Convert to fraction form
    250.75/345.67 = 176.95/x
  3. Step 3: Cross multiply
    250.75x = 345.67 × 176.95
  4. Step 4: Simplify right side
    250.75x = 61,166.31
  5. Step 5: Solve for x
    x = 61,166.31/250.75
  6. Step 6: Final answer
    x = 243.93

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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.