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Finding the Fourth Proportional to 266.61, 399.65 and 144.84

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Solution

The fourth proportional to 266.61, 399.65 and 144.84 is: 217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.61 : 399.65 = 144.84 : x
  2. Step 2: Convert to fraction form
    266.61/399.65 = 144.84/x
  3. Step 3: Cross multiply
    266.61x = 399.65 × 144.84
  4. Step 4: Simplify right side
    266.61x = 57,884.58
  5. Step 5: Solve for x
    x = 57,884.58/266.61
  6. Step 6: Final answer
    x = 217.11

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