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Finding the Fourth Proportional to 266.24, 398.08 and 262.72

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Solution

The fourth proportional to 266.24, 398.08 and 262.72 is: 392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.24 : 398.08 = 262.72 : x
  2. Step 2: Convert to fraction form
    266.24/398.08 = 262.72/x
  3. Step 3: Cross multiply
    266.24x = 398.08 × 262.72
  4. Step 4: Simplify right side
    266.24x = 104,583.58
  5. Step 5: Solve for x
    x = 104,583.58/266.24
  6. Step 6: Final answer
    x = 392.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.