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Finding the Fourth Proportional to 348.90, 479.95 and 314.07

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Solution

The fourth proportional to 348.90, 479.95 and 314.07 is: 432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.90 : 479.95 = 314.07 : x
  2. Step 2: Convert to fraction form
    348.90/479.95 = 314.07/x
  3. Step 3: Cross multiply
    348.90x = 479.95 × 314.07
  4. Step 4: Simplify right side
    348.90x = 150,737.90
  5. Step 5: Solve for x
    x = 150,737.90/348.90
  6. Step 6: Final answer
    x = 432.04

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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.