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Finding the Fourth Proportional to 349.25, 520.82 and 309.91

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Solution

The fourth proportional to 349.25, 520.82 and 309.91 is: 462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.25 : 520.82 = 309.91 : x
  2. Step 2: Convert to fraction form
    349.25/520.82 = 309.91/x
  3. Step 3: Cross multiply
    349.25x = 520.82 × 309.91
  4. Step 4: Simplify right side
    349.25x = 161,407.48
  5. Step 5: Solve for x
    x = 161,407.48/349.25
  6. Step 6: Final answer
    x = 462.16

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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.