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Finding the Fourth Proportional to 266.40, 365.28 and 259.92

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Solution

The fourth proportional to 266.40, 365.28 and 259.92 is: 356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.40 : 365.28 = 259.92 : x
  2. Step 2: Convert to fraction form
    266.40/365.28 = 259.92/x
  3. Step 3: Cross multiply
    266.40x = 365.28 × 259.92
  4. Step 4: Simplify right side
    266.40x = 94,943.58
  5. Step 5: Solve for x
    x = 94,943.58/266.40
  6. Step 6: Final answer
    x = 356.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.