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Finding the Fourth Proportional to 348.22, 521.52 and 276.40

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Solution

The fourth proportional to 348.22, 521.52 and 276.40 is: 413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.22 : 521.52 = 276.40 : x
  2. Step 2: Convert to fraction form
    348.22/521.52 = 276.40/x
  3. Step 3: Cross multiply
    348.22x = 521.52 × 276.40
  4. Step 4: Simplify right side
    348.22x = 144,148.13
  5. Step 5: Solve for x
    x = 144,148.13/348.22
  6. Step 6: Final answer
    x = 413.96

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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.