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Finding the Fourth Proportional to 348.74, 478.60 and 315.92

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Solution

The fourth proportional to 348.74, 478.60 and 315.92 is: 433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.74 : 478.60 = 315.92 : x
  2. Step 2: Convert to fraction form
    348.74/478.60 = 315.92/x
  3. Step 3: Cross multiply
    348.74x = 478.60 × 315.92
  4. Step 4: Simplify right side
    348.74x = 151,199.31
  5. Step 5: Solve for x
    x = 151,199.31/348.74
  6. Step 6: Final answer
    x = 433.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.