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Finding the Fourth Proportional to 257.16, 355.18 and 217.94

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Solution

The fourth proportional to 257.16, 355.18 and 217.94 is: 301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 355.18 = 217.94 : x
  2. Step 2: Convert to fraction form
    257.16/355.18 = 217.94/x
  3. Step 3: Cross multiply
    257.16x = 355.18 × 217.94
  4. Step 4: Simplify right side
    257.16x = 77,407.93
  5. Step 5: Solve for x
    x = 77,407.93/257.16
  6. Step 6: Final answer
    x = 301.01

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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.