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Finding the Fourth Proportional to 266.90, 399.74 and 193.59

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Solution

The fourth proportional to 266.90, 399.74 and 193.59 is: 289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.90 : 399.74 = 193.59 : x
  2. Step 2: Convert to fraction form
    266.90/399.74 = 193.59/x
  3. Step 3: Cross multiply
    266.90x = 399.74 × 193.59
  4. Step 4: Simplify right side
    266.90x = 77,384.70
  5. Step 5: Solve for x
    x = 77,384.70/266.90
  6. Step 6: Final answer
    x = 289.94

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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.