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Finding the Fourth Proportional to 349.45, 521.71 and 297.54

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Solution

The fourth proportional to 349.45, 521.71 and 297.54 is: 444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.45 : 521.71 = 297.54 : x
  2. Step 2: Convert to fraction form
    349.45/521.71 = 297.54/x
  3. Step 3: Cross multiply
    349.45x = 521.71 × 297.54
  4. Step 4: Simplify right side
    349.45x = 155,228.85
  5. Step 5: Solve for x
    x = 155,228.85/349.45
  6. Step 6: Final answer
    x = 444.21

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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.