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Finding the Fourth Proportional to 255.84, 353.05 and 150.91

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Solution

The fourth proportional to 255.84, 353.05 and 150.91 is: 208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.84 : 353.05 = 150.91 : x
  2. Step 2: Convert to fraction form
    255.84/353.05 = 150.91/x
  3. Step 3: Cross multiply
    255.84x = 353.05 × 150.91
  4. Step 4: Simplify right side
    255.84x = 53,278.78
  5. Step 5: Solve for x
    x = 53,278.78/255.84
  6. Step 6: Final answer
    x = 208.25

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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.