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Finding the Fourth Proportional to 360.43, 538.13 and 311.62

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Solution

The fourth proportional to 360.43, 538.13 and 311.62 is: 465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.43 : 538.13 = 311.62 : x
  2. Step 2: Convert to fraction form
    360.43/538.13 = 311.62/x
  3. Step 3: Cross multiply
    360.43x = 538.13 × 311.62
  4. Step 4: Simplify right side
    360.43x = 167,692.07
  5. Step 5: Solve for x
    x = 167,692.07/360.43
  6. Step 6: Final answer
    x = 465.26

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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.