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Finding the Fourth Proportional to 529.80, 794.94 and 205.40

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Solution

The fourth proportional to 529.80, 794.94 and 205.40 is: 308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.80 : 794.94 = 205.40 : x
  2. Step 2: Convert to fraction form
    529.80/794.94 = 205.40/x
  3. Step 3: Cross multiply
    529.80x = 794.94 × 205.40
  4. Step 4: Simplify right side
    529.80x = 163,280.68
  5. Step 5: Solve for x
    x = 163,280.68/529.80
  6. Step 6: Final answer
    x = 308.19

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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.