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Finding the Fourth Proportional to 406.30, 560.07 and 250.78

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Solution

The fourth proportional to 406.30, 560.07 and 250.78 is: 345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.30 : 560.07 = 250.78 : x
  2. Step 2: Convert to fraction form
    406.30/560.07 = 250.78/x
  3. Step 3: Cross multiply
    406.30x = 560.07 × 250.78
  4. Step 4: Simplify right side
    406.30x = 140,454.35
  5. Step 5: Solve for x
    x = 140,454.35/406.30
  6. Step 6: Final answer
    x = 345.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.