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Finding the Fourth Proportional to 546.17, 818.05 and 340.30

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Solution

The fourth proportional to 546.17, 818.05 and 340.30 is: 509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.17 : 818.05 = 340.30 : x
  2. Step 2: Convert to fraction form
    546.17/818.05 = 340.30/x
  3. Step 3: Cross multiply
    546.17x = 818.05 × 340.30
  4. Step 4: Simplify right side
    546.17x = 278,376.62
  5. Step 5: Solve for x
    x = 278,376.62/546.17
  6. Step 6: Final answer
    x = 509.69

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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.