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Finding the Fourth Proportional to 288.15, 395.71 and 246.70

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Solution

The fourth proportional to 288.15, 395.71 and 246.70 is: 338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.15 : 395.71 = 246.70 : x
  2. Step 2: Convert to fraction form
    288.15/395.71 = 246.70/x
  3. Step 3: Cross multiply
    288.15x = 395.71 × 246.70
  4. Step 4: Simplify right side
    288.15x = 97,621.66
  5. Step 5: Solve for x
    x = 97,621.66/288.15
  6. Step 6: Final answer
    x = 338.79

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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.