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Finding the Fourth Proportional to 285.30, 393.81 and 187.08

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Solution

The fourth proportional to 285.30, 393.81 and 187.08 is: 258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.30 : 393.81 = 187.08 : x
  2. Step 2: Convert to fraction form
    285.30/393.81 = 187.08/x
  3. Step 3: Cross multiply
    285.30x = 393.81 × 187.08
  4. Step 4: Simplify right side
    285.30x = 73,673.97
  5. Step 5: Solve for x
    x = 73,673.97/285.30
  6. Step 6: Final answer
    x = 258.23

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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.