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Finding the Fourth Proportional to 546.07, 817.62 and 272.24

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Solution

The fourth proportional to 546.07, 817.62 and 272.24 is: 407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.07 : 817.62 = 272.24 : x
  2. Step 2: Convert to fraction form
    546.07/817.62 = 272.24/x
  3. Step 3: Cross multiply
    546.07x = 817.62 × 272.24
  4. Step 4: Simplify right side
    546.07x = 222,585.29
  5. Step 5: Solve for x
    x = 222,585.29/546.07
  6. Step 6: Final answer
    x = 407.62

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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.