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Finding the Fourth Proportional to 268.28, 370.24 and 148.65

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Solution

The fourth proportional to 268.28, 370.24 and 148.65 is: 205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.28 : 370.24 = 148.65 : x
  2. Step 2: Convert to fraction form
    268.28/370.24 = 148.65/x
  3. Step 3: Cross multiply
    268.28x = 370.24 × 148.65
  4. Step 4: Simplify right side
    268.28x = 55,033.58
  5. Step 5: Solve for x
    x = 55,033.58/268.28
  6. Step 6: Final answer
    x = 205.13

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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.