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Finding the Fourth Proportional to 545.90, 819.21 and 302.30

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Solution

The fourth proportional to 545.90, 819.21 and 302.30 is: 453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.90 : 819.21 = 302.30 : x
  2. Step 2: Convert to fraction form
    545.90/819.21 = 302.30/x
  3. Step 3: Cross multiply
    545.90x = 819.21 × 302.30
  4. Step 4: Simplify right side
    545.90x = 247,647.18
  5. Step 5: Solve for x
    x = 247,647.18/545.90
  6. Step 6: Final answer
    x = 453.65

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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.