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Finding the Fourth Proportional to 348.30, 520.02 and 312.66

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Solution

The fourth proportional to 348.30, 520.02 and 312.66 is: 466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.30 : 520.02 = 312.66 : x
  2. Step 2: Convert to fraction form
    348.30/520.02 = 312.66/x
  3. Step 3: Cross multiply
    348.30x = 520.02 × 312.66
  4. Step 4: Simplify right side
    348.30x = 162,589.45
  5. Step 5: Solve for x
    x = 162,589.45/348.30
  6. Step 6: Final answer
    x = 466.81

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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.