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Finding the Fourth Proportional to 348.16, 520.05 and 254.78

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Solution

The fourth proportional to 348.16, 520.05 and 254.78 is: 380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 520.05 = 254.78 : x
  2. Step 2: Convert to fraction form
    348.16/520.05 = 254.78/x
  3. Step 3: Cross multiply
    348.16x = 520.05 × 254.78
  4. Step 4: Simplify right side
    348.16x = 132,498.37
  5. Step 5: Solve for x
    x = 132,498.37/348.16
  6. Step 6: Final answer
    x = 380.57

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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.