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Finding the Fourth Proportional to 268.98, 405.33 and 256.86

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Solution

The fourth proportional to 268.98, 405.33 and 256.86 is: 387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.98 : 405.33 = 256.86 : x
  2. Step 2: Convert to fraction form
    268.98/405.33 = 256.86/x
  3. Step 3: Cross multiply
    268.98x = 405.33 × 256.86
  4. Step 4: Simplify right side
    268.98x = 104,113.06
  5. Step 5: Solve for x
    x = 104,113.06/268.98
  6. Step 6: Final answer
    x = 387.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.