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Finding the Fourth Proportional to 366, 545.50 and 345.48

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Solution

The fourth proportional to 366, 545.50 and 345.48 is: 514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366 : 545.50 = 345.48 : x
  2. Step 2: Convert to fraction form
    366/545.50 = 345.48/x
  3. Step 3: Cross multiply
    366x = 545.50 × 345.48
  4. Step 4: Simplify right side
    366x = 188,459.34
  5. Step 5: Solve for x
    x = 188,459.34/366
  6. Step 6: Final answer
    x = 514.92

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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.