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Finding the Fourth Proportional to 366.18, 545.39 and 347.46

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Solution

The fourth proportional to 366.18, 545.39 and 347.46 is: 517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.18 : 545.39 = 347.46 : x
  2. Step 2: Convert to fraction form
    366.18/545.39 = 347.46/x
  3. Step 3: Cross multiply
    366.18x = 545.39 × 347.46
  4. Step 4: Simplify right side
    366.18x = 189,499.47
  5. Step 5: Solve for x
    x = 189,499.47/366.18
  6. Step 6: Final answer
    x = 517.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.