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Finding the Fourth Proportional to 268.88, 405.58 and 260.24

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Solution

The fourth proportional to 268.88, 405.58 and 260.24 is: 392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.88 : 405.58 = 260.24 : x
  2. Step 2: Convert to fraction form
    268.88/405.58 = 260.24/x
  3. Step 3: Cross multiply
    268.88x = 405.58 × 260.24
  4. Step 4: Simplify right side
    268.88x = 105,548.14
  5. Step 5: Solve for x
    x = 105,548.14/268.88
  6. Step 6: Final answer
    x = 392.55

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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.