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Finding the Fourth Proportional to 266.00, 397.37 and 192.24

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Solution

The fourth proportional to 266.00, 397.37 and 192.24 is: 287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.00 : 397.37 = 192.24 : x
  2. Step 2: Convert to fraction form
    266.00/397.37 = 192.24/x
  3. Step 3: Cross multiply
    266.00x = 397.37 × 192.24
  4. Step 4: Simplify right side
    266.00x = 76,390.94
  5. Step 5: Solve for x
    x = 76,390.94/266.00
  6. Step 6: Final answer
    x = 287.19

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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.