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Finding the Fourth Proportional to 546.24, 818.76 and 257.28

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Solution

The fourth proportional to 546.24, 818.76 and 257.28 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 818.76 = 257.28 : x
  2. Step 2: Convert to fraction form
    546.24/818.76 = 257.28/x
  3. Step 3: Cross multiply
    546.24x = 818.76 × 257.28
  4. Step 4: Simplify right side
    546.24x = 210,650.57
  5. Step 5: Solve for x
    x = 210,650.57/546.24
  6. Step 6: Final answer
    x = 385.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.