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Finding the Fourth Proportional to 153.91, 231.06 and 93.16

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Solution

The fourth proportional to 153.91, 231.06 and 93.16 is: 139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.91 : 231.06 = 93.16 : x
  2. Step 2: Convert to fraction form
    153.91/231.06 = 93.16/x
  3. Step 3: Cross multiply
    153.91x = 231.06 × 93.16
  4. Step 4: Simplify right side
    153.91x = 21,525.55
  5. Step 5: Solve for x
    x = 21,525.55/153.91
  6. Step 6: Final answer
    x = 139.86

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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.