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Finding the Fourth Proportional to 348.51, 523.86 and 280.77

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Solution

The fourth proportional to 348.51, 523.86 and 280.77 is: 422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.51 : 523.86 = 280.77 : x
  2. Step 2: Convert to fraction form
    348.51/523.86 = 280.77/x
  3. Step 3: Cross multiply
    348.51x = 523.86 × 280.77
  4. Step 4: Simplify right side
    348.51x = 147,084.17
  5. Step 5: Solve for x
    x = 147,084.17/348.51
  6. Step 6: Final answer
    x = 422.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.