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Finding the Fourth Proportional to 362.55, 541.52 and 311.39

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Solution

The fourth proportional to 362.55, 541.52 and 311.39 is: 465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.55 : 541.52 = 311.39 : x
  2. Step 2: Convert to fraction form
    362.55/541.52 = 311.39/x
  3. Step 3: Cross multiply
    362.55x = 541.52 × 311.39
  4. Step 4: Simplify right side
    362.55x = 168,621.98
  5. Step 5: Solve for x
    x = 168,621.98/362.55
  6. Step 6: Final answer
    x = 465.10

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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.