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Finding the Fourth Proportional to 366.39, 545.94 and 346.68

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Solution

The fourth proportional to 366.39, 545.94 and 346.68 is: 516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.39 : 545.94 = 346.68 : x
  2. Step 2: Convert to fraction form
    366.39/545.94 = 346.68/x
  3. Step 3: Cross multiply
    366.39x = 545.94 × 346.68
  4. Step 4: Simplify right side
    366.39x = 189,266.48
  5. Step 5: Solve for x
    x = 189,266.48/366.39
  6. Step 6: Final answer
    x = 516.57

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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.