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Finding the Fourth Proportional to 349.11, 521.16 and 310.29

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Solution

The fourth proportional to 349.11, 521.16 and 310.29 is: 463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.11 : 521.16 = 310.29 : x
  2. Step 2: Convert to fraction form
    349.11/521.16 = 310.29/x
  3. Step 3: Cross multiply
    349.11x = 521.16 × 310.29
  4. Step 4: Simplify right side
    349.11x = 161,710.74
  5. Step 5: Solve for x
    x = 161,710.74/349.11
  6. Step 6: Final answer
    x = 463.21

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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.