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Finding the Fourth Proportional to 354.04, 487.56 and 319.22

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Solution

The fourth proportional to 354.04, 487.56 and 319.22 is: 439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.04 : 487.56 = 319.22 : x
  2. Step 2: Convert to fraction form
    354.04/487.56 = 319.22/x
  3. Step 3: Cross multiply
    354.04x = 487.56 × 319.22
  4. Step 4: Simplify right side
    354.04x = 155,638.90
  5. Step 5: Solve for x
    x = 155,638.90/354.04
  6. Step 6: Final answer
    x = 439.61

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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.