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Finding the Fourth Proportional to 349.20, 520.32 and 310.89

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Solution

The fourth proportional to 349.20, 520.32 and 310.89 is: 463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.20 : 520.32 = 310.89 : x
  2. Step 2: Convert to fraction form
    349.20/520.32 = 310.89/x
  3. Step 3: Cross multiply
    349.20x = 520.32 × 310.89
  4. Step 4: Simplify right side
    349.20x = 161,762.28
  5. Step 5: Solve for x
    x = 161,762.28/349.20
  6. Step 6: Final answer
    x = 463.24

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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.