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Finding the Fourth Proportional to 268.10, 401.71 and 258.11

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Solution

The fourth proportional to 268.10, 401.71 and 258.11 is: 386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.10 : 401.71 = 258.11 : x
  2. Step 2: Convert to fraction form
    268.10/401.71 = 258.11/x
  3. Step 3: Cross multiply
    268.10x = 401.71 × 258.11
  4. Step 4: Simplify right side
    268.10x = 103,685.37
  5. Step 5: Solve for x
    x = 103,685.37/268.10
  6. Step 6: Final answer
    x = 386.74

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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.