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Finding the Fourth Proportional to 348.10, 520.65 and 311.80

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Solution

The fourth proportional to 348.10, 520.65 and 311.80 is: 466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.10 : 520.65 = 311.80 : x
  2. Step 2: Convert to fraction form
    348.10/520.65 = 311.80/x
  3. Step 3: Cross multiply
    348.10x = 520.65 × 311.80
  4. Step 4: Simplify right side
    348.10x = 162,338.67
  5. Step 5: Solve for x
    x = 162,338.67/348.10
  6. Step 6: Final answer
    x = 466.36

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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.