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Finding the Fourth Proportional to 537.80, 807.30 and 294.20

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Solution

The fourth proportional to 537.80, 807.30 and 294.20 is: 441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 807.30 = 294.20 : x
  2. Step 2: Convert to fraction form
    537.80/807.30 = 294.20/x
  3. Step 3: Cross multiply
    537.80x = 807.30 × 294.20
  4. Step 4: Simplify right side
    537.80x = 237,507.66
  5. Step 5: Solve for x
    x = 237,507.66/537.80
  6. Step 6: Final answer
    x = 441.63

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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.