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Finding the Fourth Proportional to 546.32, 819.16 and 258

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Solution

The fourth proportional to 546.32, 819.16 and 258 is: 386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.32 : 819.16 = 258 : x
  2. Step 2: Convert to fraction form
    546.32/819.16 = 258/x
  3. Step 3: Cross multiply
    546.32x = 819.16 × 258
  4. Step 4: Simplify right side
    546.32x = 211,343.28
  5. Step 5: Solve for x
    x = 211,343.28/546.32
  6. Step 6: Final answer
    x = 386.85

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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.