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Finding the Fourth Proportional to 154.96, 214.14 and 113.56

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Solution

The fourth proportional to 154.96, 214.14 and 113.56 is: 156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.96 : 214.14 = 113.56 : x
  2. Step 2: Convert to fraction form
    154.96/214.14 = 113.56/x
  3. Step 3: Cross multiply
    154.96x = 214.14 × 113.56
  4. Step 4: Simplify right side
    154.96x = 24,317.74
  5. Step 5: Solve for x
    x = 24,317.74/154.96
  6. Step 6: Final answer
    x = 156.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.