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Finding the Fourth Proportional to 297.02, 409.02 and 261.92

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Solution

The fourth proportional to 297.02, 409.02 and 261.92 is: 360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.02 : 409.02 = 261.92 : x
  2. Step 2: Convert to fraction form
    297.02/409.02 = 261.92/x
  3. Step 3: Cross multiply
    297.02x = 409.02 × 261.92
  4. Step 4: Simplify right side
    297.02x = 107,130.52
  5. Step 5: Solve for x
    x = 107,130.52/297.02
  6. Step 6: Final answer
    x = 360.68

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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.