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Finding the Fourth Proportional to 266.13, 398.58 and 150.30

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Solution

The fourth proportional to 266.13, 398.58 and 150.30 is: 225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.13 : 398.58 = 150.30 : x
  2. Step 2: Convert to fraction form
    266.13/398.58 = 150.30/x
  3. Step 3: Cross multiply
    266.13x = 398.58 × 150.30
  4. Step 4: Simplify right side
    266.13x = 59,906.57
  5. Step 5: Solve for x
    x = 59,906.57/266.13
  6. Step 6: Final answer
    x = 225.10

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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.