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Finding the Fourth Proportional to 154.08, 212.64 and 84.15

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Solution

The fourth proportional to 154.08, 212.64 and 84.15 is: 116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.08 : 212.64 = 84.15 : x
  2. Step 2: Convert to fraction form
    154.08/212.64 = 84.15/x
  3. Step 3: Cross multiply
    154.08x = 212.64 × 84.15
  4. Step 4: Simplify right side
    154.08x = 17,893.66
  5. Step 5: Solve for x
    x = 17,893.66/154.08
  6. Step 6: Final answer
    x = 116.13

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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.