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Finding the Fourth Proportional to 529.62, 795.24 and 205.62

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Solution

The fourth proportional to 529.62, 795.24 and 205.62 is: 308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.62 : 795.24 = 205.62 : x
  2. Step 2: Convert to fraction form
    529.62/795.24 = 205.62/x
  3. Step 3: Cross multiply
    529.62x = 795.24 × 205.62
  4. Step 4: Simplify right side
    529.62x = 163,517.25
  5. Step 5: Solve for x
    x = 163,517.25/529.62
  6. Step 6: Final answer
    x = 308.74

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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.