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Finding the Fourth Proportional to 261.39, 358.56 and 255.99

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Solution

The fourth proportional to 261.39, 358.56 and 255.99 is: 351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.39 : 358.56 = 255.99 : x
  2. Step 2: Convert to fraction form
    261.39/358.56 = 255.99/x
  3. Step 3: Cross multiply
    261.39x = 358.56 × 255.99
  4. Step 4: Simplify right side
    261.39x = 91,787.77
  5. Step 5: Solve for x
    x = 91,787.77/261.39
  6. Step 6: Final answer
    x = 351.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.