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Finding the Fourth Proportional to 545.21, 818.04 and 285.27

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Solution

The fourth proportional to 545.21, 818.04 and 285.27 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.21 : 818.04 = 285.27 : x
  2. Step 2: Convert to fraction form
    545.21/818.04 = 285.27/x
  3. Step 3: Cross multiply
    545.21x = 818.04 × 285.27
  4. Step 4: Simplify right side
    545.21x = 233,362.27
  5. Step 5: Solve for x
    x = 233,362.27/545.21
  6. Step 6: Final answer
    x = 428.02

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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.