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Finding the Fourth Proportional to 362.17, 499.10 and 355.50

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Solution

The fourth proportional to 362.17, 499.10 and 355.50 is: 489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.17 : 499.10 = 355.50 : x
  2. Step 2: Convert to fraction form
    362.17/499.10 = 355.50/x
  3. Step 3: Cross multiply
    362.17x = 499.10 × 355.50
  4. Step 4: Simplify right side
    362.17x = 177,431.68
  5. Step 5: Solve for x
    x = 177,431.68/362.17
  6. Step 6: Final answer
    x = 489.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.