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Finding the Fourth Proportional to 268.02, 368.79 and 261.24

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Solution

The fourth proportional to 268.02, 368.79 and 261.24 is: 359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.02 : 368.79 = 261.24 : x
  2. Step 2: Convert to fraction form
    268.02/368.79 = 261.24/x
  3. Step 3: Cross multiply
    268.02x = 368.79 × 261.24
  4. Step 4: Simplify right side
    268.02x = 96,342.70
  5. Step 5: Solve for x
    x = 96,342.70/268.02
  6. Step 6: Final answer
    x = 359.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.