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Finding the Fourth Proportional to 257.78, 355.65 and 154.22

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Solution

The fourth proportional to 257.78, 355.65 and 154.22 is: 212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.78 : 355.65 = 154.22 : x
  2. Step 2: Convert to fraction form
    257.78/355.65 = 154.22/x
  3. Step 3: Cross multiply
    257.78x = 355.65 × 154.22
  4. Step 4: Simplify right side
    257.78x = 54,848.34
  5. Step 5: Solve for x
    x = 54,848.34/257.78
  6. Step 6: Final answer
    x = 212.77

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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.