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Finding the Fourth Proportional to 545.60, 753.20 and 359.21

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Solution

The fourth proportional to 545.60, 753.20 and 359.21 is: 495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.60 : 753.20 = 359.21 : x
  2. Step 2: Convert to fraction form
    545.60/753.20 = 359.21/x
  3. Step 3: Cross multiply
    545.60x = 753.20 × 359.21
  4. Step 4: Simplify right side
    545.60x = 270,551.41
  5. Step 5: Solve for x
    x = 270,551.41/545.60
  6. Step 6: Final answer
    x = 495.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.