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Finding the Fourth Proportional to 362.95, 541.77 and 311.92

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Solution

The fourth proportional to 362.95, 541.77 and 311.92 is: 465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.95 : 541.77 = 311.92 : x
  2. Step 2: Convert to fraction form
    362.95/541.77 = 311.92/x
  3. Step 3: Cross multiply
    362.95x = 541.77 × 311.92
  4. Step 4: Simplify right side
    362.95x = 168,988.90
  5. Step 5: Solve for x
    x = 168,988.90/362.95
  6. Step 6: Final answer
    x = 465.60

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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.