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Finding the Fourth Proportional to 363.89, 545.51 and 309.40

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Solution

The fourth proportional to 363.89, 545.51 and 309.40 is: 463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.89 : 545.51 = 309.40 : x
  2. Step 2: Convert to fraction form
    363.89/545.51 = 309.40/x
  3. Step 3: Cross multiply
    363.89x = 545.51 × 309.40
  4. Step 4: Simplify right side
    363.89x = 168,780.79
  5. Step 5: Solve for x
    x = 168,780.79/363.89
  6. Step 6: Final answer
    x = 463.82

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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.