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Finding the Fourth Proportional to 154.86, 212.31 and 152.14

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Solution

The fourth proportional to 154.86, 212.31 and 152.14 is: 208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.86 : 212.31 = 152.14 : x
  2. Step 2: Convert to fraction form
    154.86/212.31 = 152.14/x
  3. Step 3: Cross multiply
    154.86x = 212.31 × 152.14
  4. Step 4: Simplify right side
    154.86x = 32,300.84
  5. Step 5: Solve for x
    x = 32,300.84/154.86
  6. Step 6: Final answer
    x = 208.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.