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Finding the Fourth Proportional to 534.98, 802.34 and 205.80

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Solution

The fourth proportional to 534.98, 802.34 and 205.80 is: 308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.98 : 802.34 = 205.80 : x
  2. Step 2: Convert to fraction form
    534.98/802.34 = 205.80/x
  3. Step 3: Cross multiply
    534.98x = 802.34 × 205.80
  4. Step 4: Simplify right side
    534.98x = 165,121.57
  5. Step 5: Solve for x
    x = 165,121.57/534.98
  6. Step 6: Final answer
    x = 308.65

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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.