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Finding the Fourth Proportional to 287.04, 398.87 and 284.08

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Solution

The fourth proportional to 287.04, 398.87 and 284.08 is: 394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.04 : 398.87 = 284.08 : x
  2. Step 2: Convert to fraction form
    287.04/398.87 = 284.08/x
  3. Step 3: Cross multiply
    287.04x = 398.87 × 284.08
  4. Step 4: Simplify right side
    287.04x = 113,310.99
  5. Step 5: Solve for x
    x = 113,310.99/287.04
  6. Step 6: Final answer
    x = 394.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.