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Finding the Fourth Proportional to 285.28, 393.60 and 187

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Solution

The fourth proportional to 285.28, 393.60 and 187 is: 258.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.28 : 393.60 = 187 : x
  2. Step 2: Convert to fraction form
    285.28/393.60 = 187/x
  3. Step 3: Cross multiply
    285.28x = 393.60 × 187
  4. Step 4: Simplify right side
    285.28x = 73,603.20
  5. Step 5: Solve for x
    x = 73,603.20/285.28
  6. Step 6: Final answer
    x = 258.00

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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.