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Finding the Fourth Proportional to 348.78, 520.62 and 312.32

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Solution

The fourth proportional to 348.78, 520.62 and 312.32 is: 466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.78 : 520.62 = 312.32 : x
  2. Step 2: Convert to fraction form
    348.78/520.62 = 312.32/x
  3. Step 3: Cross multiply
    348.78x = 520.62 × 312.32
  4. Step 4: Simplify right side
    348.78x = 162,600.04
  5. Step 5: Solve for x
    x = 162,600.04/348.78
  6. Step 6: Final answer
    x = 466.20

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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.