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Finding the Fourth Proportional to 257.88, 355.50 and 211.18

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Solution

The fourth proportional to 257.88, 355.50 and 211.18 is: 291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.88 : 355.50 = 211.18 : x
  2. Step 2: Convert to fraction form
    257.88/355.50 = 211.18/x
  3. Step 3: Cross multiply
    257.88x = 355.50 × 211.18
  4. Step 4: Simplify right side
    257.88x = 75,075.56
  5. Step 5: Solve for x
    x = 75,075.56/257.88
  6. Step 6: Final answer
    x = 291.12

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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.