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Finding the Fourth Proportional to 266.99, 400.02 and 208.54

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Solution

The fourth proportional to 266.99, 400.02 and 208.54 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.99 : 400.02 = 208.54 : x
  2. Step 2: Convert to fraction form
    266.99/400.02 = 208.54/x
  3. Step 3: Cross multiply
    266.99x = 400.02 × 208.54
  4. Step 4: Simplify right side
    266.99x = 83,421.45
  5. Step 5: Solve for x
    x = 83,421.45/266.99
  6. Step 6: Final answer
    x = 312.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.