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Finding the Fourth Proportional to 562.68, 844.16 and 270.20

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Solution

The fourth proportional to 562.68, 844.16 and 270.20 is: 405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 844.16 = 270.20 : x
  2. Step 2: Convert to fraction form
    562.68/844.16 = 270.20/x
  3. Step 3: Cross multiply
    562.68x = 844.16 × 270.20
  4. Step 4: Simplify right side
    562.68x = 228,092.79
  5. Step 5: Solve for x
    x = 228,092.79/562.68
  6. Step 6: Final answer
    x = 405.37

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1.5x scale

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.