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Finding the Fourth Proportional to 399.53, 549.85 and 338.17

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Solution

The fourth proportional to 399.53, 549.85 and 338.17 is: 465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.53 : 549.85 = 338.17 : x
  2. Step 2: Convert to fraction form
    399.53/549.85 = 338.17/x
  3. Step 3: Cross multiply
    399.53x = 549.85 × 338.17
  4. Step 4: Simplify right side
    399.53x = 185,942.77
  5. Step 5: Solve for x
    x = 185,942.77/399.53
  6. Step 6: Final answer
    x = 465.40

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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.