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Finding the Fourth Proportional to 287.74, 397.05 and 194.59

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Solution

The fourth proportional to 287.74, 397.05 and 194.59 is: 268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.74 : 397.05 = 194.59 : x
  2. Step 2: Convert to fraction form
    287.74/397.05 = 194.59/x
  3. Step 3: Cross multiply
    287.74x = 397.05 × 194.59
  4. Step 4: Simplify right side
    287.74x = 77,261.96
  5. Step 5: Solve for x
    x = 77,261.96/287.74
  6. Step 6: Final answer
    x = 268.51

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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.