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Finding the Fourth Proportional to 399.29, 550.76 and 288.92

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Solution

The fourth proportional to 399.29, 550.76 and 288.92 is: 398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.29 : 550.76 = 288.92 : x
  2. Step 2: Convert to fraction form
    399.29/550.76 = 288.92/x
  3. Step 3: Cross multiply
    399.29x = 550.76 × 288.92
  4. Step 4: Simplify right side
    399.29x = 159,125.51
  5. Step 5: Solve for x
    x = 159,125.51/399.29
  6. Step 6: Final answer
    x = 398.53

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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.