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Finding the Fourth Proportional to 268.01, 369.78 and 151.57

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Solution

The fourth proportional to 268.01, 369.78 and 151.57 is: 209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.01 : 369.78 = 151.57 : x
  2. Step 2: Convert to fraction form
    268.01/369.78 = 151.57/x
  3. Step 3: Cross multiply
    268.01x = 369.78 × 151.57
  4. Step 4: Simplify right side
    268.01x = 56,045.71
  5. Step 5: Solve for x
    x = 56,045.71/268.01
  6. Step 6: Final answer
    x = 209.12

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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.