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Finding the Fourth Proportional to 406.25, 560.67 and 251

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Solution

The fourth proportional to 406.25, 560.67 and 251 is: 346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.25 : 560.67 = 251 : x
  2. Step 2: Convert to fraction form
    406.25/560.67 = 251/x
  3. Step 3: Cross multiply
    406.25x = 560.67 × 251
  4. Step 4: Simplify right side
    406.25x = 140,728.17
  5. Step 5: Solve for x
    x = 140,728.17/406.25
  6. Step 6: Final answer
    x = 346.41

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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.