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Finding the Fourth Proportional to 399.99, 549.68 and 381.90

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Solution

The fourth proportional to 399.99, 549.68 and 381.90 is: 524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.99 : 549.68 = 381.90 : x
  2. Step 2: Convert to fraction form
    399.99/549.68 = 381.90/x
  3. Step 3: Cross multiply
    399.99x = 549.68 × 381.90
  4. Step 4: Simplify right side
    399.99x = 209,922.79
  5. Step 5: Solve for x
    x = 209,922.79/399.99
  6. Step 6: Final answer
    x = 524.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.