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Finding the Fourth Proportional to 266.04, 366.66 and 216.63

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Solution

The fourth proportional to 266.04, 366.66 and 216.63 is: 298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.04 : 366.66 = 216.63 : x
  2. Step 2: Convert to fraction form
    266.04/366.66 = 216.63/x
  3. Step 3: Cross multiply
    266.04x = 366.66 × 216.63
  4. Step 4: Simplify right side
    266.04x = 79,429.56
  5. Step 5: Solve for x
    x = 79,429.56/266.04
  6. Step 6: Final answer
    x = 298.56

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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.