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Finding the Fourth Proportional to 285.72, 394.22 and 187.46

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Solution

The fourth proportional to 285.72, 394.22 and 187.46 is: 258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.72 : 394.22 = 187.46 : x
  2. Step 2: Convert to fraction form
    285.72/394.22 = 187.46/x
  3. Step 3: Cross multiply
    285.72x = 394.22 × 187.46
  4. Step 4: Simplify right side
    285.72x = 73,900.48
  5. Step 5: Solve for x
    x = 73,900.48/285.72
  6. Step 6: Final answer
    x = 258.65

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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.