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Finding the Fourth Proportional to 257.90, 355.91 and 153.08

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Solution

The fourth proportional to 257.90, 355.91 and 153.08 is: 211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.90 : 355.91 = 153.08 : x
  2. Step 2: Convert to fraction form
    257.90/355.91 = 153.08/x
  3. Step 3: Cross multiply
    257.90x = 355.91 × 153.08
  4. Step 4: Simplify right side
    257.90x = 54,481.85
  5. Step 5: Solve for x
    x = 54,481.85/257.90
  6. Step 6: Final answer
    x = 211.25

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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.