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Finding the Fourth Proportional to 402.75, 555.98 and 247.59

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Solution

The fourth proportional to 402.75, 555.98 and 247.59 is: 341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 555.98 = 247.59 : x
  2. Step 2: Convert to fraction form
    402.75/555.98 = 247.59/x
  3. Step 3: Cross multiply
    402.75x = 555.98 × 247.59
  4. Step 4: Simplify right side
    402.75x = 137,653.85
  5. Step 5: Solve for x
    x = 137,653.85/402.75
  6. Step 6: Final answer
    x = 341.78

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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.