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Finding the Fourth Proportional to 268.46, 405.24 and 265.58

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Solution

The fourth proportional to 268.46, 405.24 and 265.58 is: 400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.46 : 405.24 = 265.58 : x
  2. Step 2: Convert to fraction form
    268.46/405.24 = 265.58/x
  3. Step 3: Cross multiply
    268.46x = 405.24 × 265.58
  4. Step 4: Simplify right side
    268.46x = 107,623.64
  5. Step 5: Solve for x
    x = 107,623.64/268.46
  6. Step 6: Final answer
    x = 400.89

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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.