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Finding the Fourth Proportional to 266.66, 397.17 and 263.06

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Solution

The fourth proportional to 266.66, 397.17 and 263.06 is: 391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.66 : 397.17 = 263.06 : x
  2. Step 2: Convert to fraction form
    266.66/397.17 = 263.06/x
  3. Step 3: Cross multiply
    266.66x = 397.17 × 263.06
  4. Step 4: Simplify right side
    266.66x = 104,477.55
  5. Step 5: Solve for x
    x = 104,477.55/266.66
  6. Step 6: Final answer
    x = 391.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.