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Finding the Fourth Proportional to 154.17, 212.51 and 131.84

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Solution

The fourth proportional to 154.17, 212.51 and 131.84 is: 181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.17 : 212.51 = 131.84 : x
  2. Step 2: Convert to fraction form
    154.17/212.51 = 131.84/x
  3. Step 3: Cross multiply
    154.17x = 212.51 × 131.84
  4. Step 4: Simplify right side
    154.17x = 28,015.60
  5. Step 5: Solve for x
    x = 28,015.60/154.17
  6. Step 6: Final answer
    x = 181.72

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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.