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Finding the Fourth Proportional to 154.34, 231.55 and 46.14

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Solution

The fourth proportional to 154.34, 231.55 and 46.14 is: 69.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.34 : 231.55 = 46.14 : x
  2. Step 2: Convert to fraction form
    154.34/231.55 = 46.14/x
  3. Step 3: Cross multiply
    154.34x = 231.55 × 46.14
  4. Step 4: Simplify right side
    154.34x = 10,682.96
  5. Step 5: Solve for x
    x = 10,682.96/154.34
  6. Step 6: Final answer
    x = 69.22

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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.