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Finding the Fourth Proportional to 285.81, 394.61 and 187.73

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Solution

The fourth proportional to 285.81, 394.61 and 187.73 is: 259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.81 : 394.61 = 187.73 : x
  2. Step 2: Convert to fraction form
    285.81/394.61 = 187.73/x
  3. Step 3: Cross multiply
    285.81x = 394.61 × 187.73
  4. Step 4: Simplify right side
    285.81x = 74,080.18
  5. Step 5: Solve for x
    x = 74,080.18/285.81
  6. Step 6: Final answer
    x = 259.19

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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.