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Finding the Fourth Proportional to 268.32, 369.78 and 210

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Solution

The fourth proportional to 268.32, 369.78 and 210 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.32 : 369.78 = 210 : x
  2. Step 2: Convert to fraction form
    268.32/369.78 = 210/x
  3. Step 3: Cross multiply
    268.32x = 369.78 × 210
  4. Step 4: Simplify right side
    268.32x = 77,653.80
  5. Step 5: Solve for x
    x = 77,653.80/268.32
  6. Step 6: Final answer
    x = 289.41

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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.