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Finding the Fourth Proportional to 266.40, 366.48 and 261.36

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Solution

The fourth proportional to 266.40, 366.48 and 261.36 is: 359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.40 : 366.48 = 261.36 : x
  2. Step 2: Convert to fraction form
    266.40/366.48 = 261.36/x
  3. Step 3: Cross multiply
    266.40x = 366.48 × 261.36
  4. Step 4: Simplify right side
    266.40x = 95,783.21
  5. Step 5: Solve for x
    x = 95,783.21/266.40
  6. Step 6: Final answer
    x = 359.55

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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.