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Finding the Fourth Proportional to 154.63, 231.36 and 86.21

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Solution

The fourth proportional to 154.63, 231.36 and 86.21 is: 128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.63 : 231.36 = 86.21 : x
  2. Step 2: Convert to fraction form
    154.63/231.36 = 86.21/x
  3. Step 3: Cross multiply
    154.63x = 231.36 × 86.21
  4. Step 4: Simplify right side
    154.63x = 19,945.55
  5. Step 5: Solve for x
    x = 19,945.55/154.63
  6. Step 6: Final answer
    x = 128.99

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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.