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Finding the Fourth Proportional to 362.61, 545.95 and 319.54

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Solution

The fourth proportional to 362.61, 545.95 and 319.54 is: 481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.61 : 545.95 = 319.54 : x
  2. Step 2: Convert to fraction form
    362.61/545.95 = 319.54/x
  3. Step 3: Cross multiply
    362.61x = 545.95 × 319.54
  4. Step 4: Simplify right side
    362.61x = 174,452.63
  5. Step 5: Solve for x
    x = 174,452.63/362.61
  6. Step 6: Final answer
    x = 481.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.