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Finding the Fourth Proportional to 154.32, 212.64 and 117.48

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Solution

The fourth proportional to 154.32, 212.64 and 117.48 is: 161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.32 : 212.64 = 117.48 : x
  2. Step 2: Convert to fraction form
    154.32/212.64 = 117.48/x
  3. Step 3: Cross multiply
    154.32x = 212.64 × 117.48
  4. Step 4: Simplify right side
    154.32x = 24,980.95
  5. Step 5: Solve for x
    x = 24,980.95/154.32
  6. Step 6: Final answer
    x = 161.88

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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.