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Finding the Fourth Proportional to 349.70, 522.44 and 309.56

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Solution

The fourth proportional to 349.70, 522.44 and 309.56 is: 462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.70 : 522.44 = 309.56 : x
  2. Step 2: Convert to fraction form
    349.70/522.44 = 309.56/x
  3. Step 3: Cross multiply
    349.70x = 522.44 × 309.56
  4. Step 4: Simplify right side
    349.70x = 161,726.53
  5. Step 5: Solve for x
    x = 161,726.53/349.70
  6. Step 6: Final answer
    x = 462.47

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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.