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Finding the Fourth Proportional to 154.06, 212.63 and 117.15

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Solution

The fourth proportional to 154.06, 212.63 and 117.15 is: 161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.06 : 212.63 = 117.15 : x
  2. Step 2: Convert to fraction form
    154.06/212.63 = 117.15/x
  3. Step 3: Cross multiply
    154.06x = 212.63 × 117.15
  4. Step 4: Simplify right side
    154.06x = 24,909.02
  5. Step 5: Solve for x
    x = 24,909.02/154.06
  6. Step 6: Final answer
    x = 161.69

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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.