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Finding the Fourth Proportional to 348.68, 478.56 and 315.74

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Solution

The fourth proportional to 348.68, 478.56 and 315.74 is: 433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.68 : 478.56 = 315.74 : x
  2. Step 2: Convert to fraction form
    348.68/478.56 = 315.74/x
  3. Step 3: Cross multiply
    348.68x = 478.56 × 315.74
  4. Step 4: Simplify right side
    348.68x = 151,100.53
  5. Step 5: Solve for x
    x = 151,100.53/348.68
  6. Step 6: Final answer
    x = 433.35

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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.