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Finding the Fourth Proportional to 534.79, 801.60 and 209.80

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Solution

The fourth proportional to 534.79, 801.60 and 209.80 is: 314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.79 : 801.60 = 209.80 : x
  2. Step 2: Convert to fraction form
    534.79/801.60 = 209.80/x
  3. Step 3: Cross multiply
    534.79x = 801.60 × 209.80
  4. Step 4: Simplify right side
    534.79x = 168,175.68
  5. Step 5: Solve for x
    x = 168,175.68/534.79
  6. Step 6: Final answer
    x = 314.47

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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.