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Finding the Fourth Proportional to 426.16, 638.03 and 392.14

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Solution

The fourth proportional to 426.16, 638.03 and 392.14 is: 587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.16 : 638.03 = 392.14 : x
  2. Step 2: Convert to fraction form
    426.16/638.03 = 392.14/x
  3. Step 3: Cross multiply
    426.16x = 638.03 × 392.14
  4. Step 4: Simplify right side
    426.16x = 250,196.66
  5. Step 5: Solve for x
    x = 250,196.66/426.16
  6. Step 6: Final answer
    x = 587.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.