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Finding the Fourth Proportional to 266.34, 366.45 and 208.02

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Solution

The fourth proportional to 266.34, 366.45 and 208.02 is: 286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.34 : 366.45 = 208.02 : x
  2. Step 2: Convert to fraction form
    266.34/366.45 = 208.02/x
  3. Step 3: Cross multiply
    266.34x = 366.45 × 208.02
  4. Step 4: Simplify right side
    266.34x = 76,228.93
  5. Step 5: Solve for x
    x = 76,228.93/266.34
  6. Step 6: Final answer
    x = 286.21

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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.