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Finding the Fourth Proportional to 261.99, 389.79 and 255.24

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Solution

The fourth proportional to 261.99, 389.79 and 255.24 is: 379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.99 : 389.79 = 255.24 : x
  2. Step 2: Convert to fraction form
    261.99/389.79 = 255.24/x
  3. Step 3: Cross multiply
    261.99x = 389.79 × 255.24
  4. Step 4: Simplify right side
    261.99x = 99,490.00
  5. Step 5: Solve for x
    x = 99,490.00/261.99
  6. Step 6: Final answer
    x = 379.75

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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.