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Finding the Fourth Proportional to 380.97, 524.61 and 297.72

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Solution

The fourth proportional to 380.97, 524.61 and 297.72 is: 409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.97 : 524.61 = 297.72 : x
  2. Step 2: Convert to fraction form
    380.97/524.61 = 297.72/x
  3. Step 3: Cross multiply
    380.97x = 524.61 × 297.72
  4. Step 4: Simplify right side
    380.97x = 156,186.89
  5. Step 5: Solve for x
    x = 156,186.89/380.97
  6. Step 6: Final answer
    x = 409.97

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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.