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Finding the Fourth Proportional to 254.90, 382.57 and 100.91

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Solution

The fourth proportional to 254.90, 382.57 and 100.91 is: 151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.90 : 382.57 = 100.91 : x
  2. Step 2: Convert to fraction form
    254.90/382.57 = 100.91/x
  3. Step 3: Cross multiply
    254.90x = 382.57 × 100.91
  4. Step 4: Simplify right side
    254.90x = 38,605.84
  5. Step 5: Solve for x
    x = 38,605.84/254.90
  6. Step 6: Final answer
    x = 151.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.