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Finding the Fourth Proportional to 268.02, 401.91 and 85.38

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Solution

The fourth proportional to 268.02, 401.91 and 85.38 is: 128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.02 : 401.91 = 85.38 : x
  2. Step 2: Convert to fraction form
    268.02/401.91 = 85.38/x
  3. Step 3: Cross multiply
    268.02x = 401.91 × 85.38
  4. Step 4: Simplify right side
    268.02x = 34,315.08
  5. Step 5: Solve for x
    x = 34,315.08/268.02
  6. Step 6: Final answer
    x = 128.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.