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Finding the Fourth Proportional to 545.55, 816.30 and 363.30

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Solution

The fourth proportional to 545.55, 816.30 and 363.30 is: 543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.55 : 816.30 = 363.30 : x
  2. Step 2: Convert to fraction form
    545.55/816.30 = 363.30/x
  3. Step 3: Cross multiply
    545.55x = 816.30 × 363.30
  4. Step 4: Simplify right side
    545.55x = 296,561.79
  5. Step 5: Solve for x
    x = 296,561.79/545.55
  6. Step 6: Final answer
    x = 543.60

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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.