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Finding the Fourth Proportional to 399.74, 551.75 and 289.00

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Solution

The fourth proportional to 399.74, 551.75 and 289.00 is: 398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.74 : 551.75 = 289.00 : x
  2. Step 2: Convert to fraction form
    399.74/551.75 = 289.00/x
  3. Step 3: Cross multiply
    399.74x = 551.75 × 289.00
  4. Step 4: Simplify right side
    399.74x = 159,454.99
  5. Step 5: Solve for x
    x = 159,454.99/399.74
  6. Step 6: Final answer
    x = 398.90

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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.