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Finding the Fourth Proportional to 268.83, 400.61 and 260.13

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Solution

The fourth proportional to 268.83, 400.61 and 260.13 is: 387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.83 : 400.61 = 260.13 : x
  2. Step 2: Convert to fraction form
    268.83/400.61 = 260.13/x
  3. Step 3: Cross multiply
    268.83x = 400.61 × 260.13
  4. Step 4: Simplify right side
    268.83x = 104,209.38
  5. Step 5: Solve for x
    x = 104,209.38/268.83
  6. Step 6: Final answer
    x = 387.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.