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Finding the Fourth Proportional to 297.16, 410.84 and 260.70

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Solution

The fourth proportional to 297.16, 410.84 and 260.70 is: 360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.16 : 410.84 = 260.70 : x
  2. Step 2: Convert to fraction form
    297.16/410.84 = 260.70/x
  3. Step 3: Cross multiply
    297.16x = 410.84 × 260.70
  4. Step 4: Simplify right side
    297.16x = 107,105.99
  5. Step 5: Solve for x
    x = 107,105.99/297.16
  6. Step 6: Final answer
    x = 360.43

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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.