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Finding the Fourth Proportional to 254.58, 381.83 and 71.93

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Solution

The fourth proportional to 254.58, 381.83 and 71.93 is: 107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.58 : 381.83 = 71.93 : x
  2. Step 2: Convert to fraction form
    254.58/381.83 = 71.93/x
  3. Step 3: Cross multiply
    254.58x = 381.83 × 71.93
  4. Step 4: Simplify right side
    254.58x = 27,465.63
  5. Step 5: Solve for x
    x = 27,465.63/254.58
  6. Step 6: Final answer
    x = 107.89

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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.