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Finding the Fourth Proportional to 288.60, 395.52 and 288.12

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Solution

The fourth proportional to 288.60, 395.52 and 288.12 is: 394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.60 : 395.52 = 288.12 : x
  2. Step 2: Convert to fraction form
    288.60/395.52 = 288.12/x
  3. Step 3: Cross multiply
    288.60x = 395.52 × 288.12
  4. Step 4: Simplify right side
    288.60x = 113,957.22
  5. Step 5: Solve for x
    x = 113,957.22/288.60
  6. Step 6: Final answer
    x = 394.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.