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Finding the Fourth Proportional to 380.52, 524.97 and 297.63

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Solution

The fourth proportional to 380.52, 524.97 and 297.63 is: 410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.52 : 524.97 = 297.63 : x
  2. Step 2: Convert to fraction form
    380.52/524.97 = 297.63/x
  3. Step 3: Cross multiply
    380.52x = 524.97 × 297.63
  4. Step 4: Simplify right side
    380.52x = 156,246.82
  5. Step 5: Solve for x
    x = 156,246.82/380.52
  6. Step 6: Final answer
    x = 410.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.