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Finding the Fourth Proportional to 545.80, 753.20 and 297.12

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Solution

The fourth proportional to 545.80, 753.20 and 297.12 is: 410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.80 : 753.20 = 297.12 : x
  2. Step 2: Convert to fraction form
    545.80/753.20 = 297.12/x
  3. Step 3: Cross multiply
    545.80x = 753.20 × 297.12
  4. Step 4: Simplify right side
    545.80x = 223,785.53
  5. Step 5: Solve for x
    x = 223,785.53/545.80
  6. Step 6: Final answer
    x = 410.02

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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.