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Finding the Fourth Proportional to 399.04, 550.50 and 282.40

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Solution

The fourth proportional to 399.04, 550.50 and 282.40 is: 389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.04 : 550.50 = 282.40 : x
  2. Step 2: Convert to fraction form
    399.04/550.50 = 282.40/x
  3. Step 3: Cross multiply
    399.04x = 550.50 × 282.40
  4. Step 4: Simplify right side
    399.04x = 155,461.20
  5. Step 5: Solve for x
    x = 155,461.20/399.04
  6. Step 6: Final answer
    x = 389.59

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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.