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Finding the Fourth Proportional to 349.65, 521.91 and 309.12

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Solution

The fourth proportional to 349.65, 521.91 and 309.12 is: 461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.65 : 521.91 = 309.12 : x
  2. Step 2: Convert to fraction form
    349.65/521.91 = 309.12/x
  3. Step 3: Cross multiply
    349.65x = 521.91 × 309.12
  4. Step 4: Simplify right side
    349.65x = 161,332.82
  5. Step 5: Solve for x
    x = 161,332.82/349.65
  6. Step 6: Final answer
    x = 461.41

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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.