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Finding the Fourth Proportional to 392.17, 587.86 and 319.19

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Solution

The fourth proportional to 392.17, 587.86 and 319.19 is: 478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.17 : 587.86 = 319.19 : x
  2. Step 2: Convert to fraction form
    392.17/587.86 = 319.19/x
  3. Step 3: Cross multiply
    392.17x = 587.86 × 319.19
  4. Step 4: Simplify right side
    392.17x = 187,639.03
  5. Step 5: Solve for x
    x = 187,639.03/392.17
  6. Step 6: Final answer
    x = 478.46

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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.