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Finding the Fourth Proportional to 266.99, 368.70 and 212.00

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Solution

The fourth proportional to 266.99, 368.70 and 212.00 is: 292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.99 : 368.70 = 212.00 : x
  2. Step 2: Convert to fraction form
    266.99/368.70 = 212.00/x
  3. Step 3: Cross multiply
    266.99x = 368.70 × 212.00
  4. Step 4: Simplify right side
    266.99x = 78,162.56
  5. Step 5: Solve for x
    x = 78,162.56/266.99
  6. Step 6: Final answer
    x = 292.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.