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Finding the Fourth Proportional to 250.67, 378.20 and 250.00

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Solution

The fourth proportional to 250.67, 378.20 and 250.00 is: 377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.67 : 378.20 = 250.00 : x
  2. Step 2: Convert to fraction form
    250.67/378.20 = 250.00/x
  3. Step 3: Cross multiply
    250.67x = 378.20 × 250.00
  4. Step 4: Simplify right side
    250.67x = 94,547.80
  5. Step 5: Solve for x
    x = 94,547.80/250.67
  6. Step 6: Final answer
    x = 377.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.