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Finding the Fourth Proportional to 348, 520.96 and 210.63

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Solution

The fourth proportional to 348, 520.96 and 210.63 is: 315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348 : 520.96 = 210.63 : x
  2. Step 2: Convert to fraction form
    348/520.96 = 210.63/x
  3. Step 3: Cross multiply
    348x = 520.96 × 210.63
  4. Step 4: Simplify right side
    348x = 109,729.80
  5. Step 5: Solve for x
    x = 109,729.80/348
  6. Step 6: Final answer
    x = 315.32

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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.