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Finding the Fourth Proportional to 348.80, 520.80 and 342.40

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Solution

The fourth proportional to 348.80, 520.80 and 342.40 is: 511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.80 : 520.80 = 342.40 : x
  2. Step 2: Convert to fraction form
    348.80/520.80 = 342.40/x
  3. Step 3: Cross multiply
    348.80x = 520.80 × 342.40
  4. Step 4: Simplify right side
    348.80x = 178,321.92
  5. Step 5: Solve for x
    x = 178,321.92/348.80
  6. Step 6: Final answer
    x = 511.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.