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Finding the Fourth Proportional to 254.16, 350.74 and 155.92

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Solution

The fourth proportional to 254.16, 350.74 and 155.92 is: 215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.16 : 350.74 = 155.92 : x
  2. Step 2: Convert to fraction form
    254.16/350.74 = 155.92/x
  3. Step 3: Cross multiply
    254.16x = 350.74 × 155.92
  4. Step 4: Simplify right side
    254.16x = 54,687.38
  5. Step 5: Solve for x
    x = 54,687.38/254.16
  6. Step 6: Final answer
    x = 215.17

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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.