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Finding the Fourth Proportional to 399.50, 596.14 and 363.14

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Solution

The fourth proportional to 399.50, 596.14 and 363.14 is: 541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.50 : 596.14 = 363.14 : x
  2. Step 2: Convert to fraction form
    399.50/596.14 = 363.14/x
  3. Step 3: Cross multiply
    399.50x = 596.14 × 363.14
  4. Step 4: Simplify right side
    399.50x = 216,482.28
  5. Step 5: Solve for x
    x = 216,482.28/399.50
  6. Step 6: Final answer
    x = 541.88

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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.