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Finding the Fourth Proportional to 266.48, 365.36 and 263.20

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Solution

The fourth proportional to 266.48, 365.36 and 263.20 is: 360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.48 : 365.36 = 263.20 : x
  2. Step 2: Convert to fraction form
    266.48/365.36 = 263.20/x
  3. Step 3: Cross multiply
    266.48x = 365.36 × 263.20
  4. Step 4: Simplify right side
    266.48x = 96,162.75
  5. Step 5: Solve for x
    x = 96,162.75/266.48
  6. Step 6: Final answer
    x = 360.86

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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.