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Finding the Fourth Proportional to 268.09, 370.10 and 208.95

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Solution

The fourth proportional to 268.09, 370.10 and 208.95 is: 288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.09 : 370.10 = 208.95 : x
  2. Step 2: Convert to fraction form
    268.09/370.10 = 208.95/x
  3. Step 3: Cross multiply
    268.09x = 370.10 × 208.95
  4. Step 4: Simplify right side
    268.09x = 77,332.92
  5. Step 5: Solve for x
    x = 77,332.92/268.09
  6. Step 6: Final answer
    x = 288.46

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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.