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Finding the Fourth Proportional to 209.51, 289.17 and 154.16

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Solution

The fourth proportional to 209.51, 289.17 and 154.16 is: 212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.51 : 289.17 = 154.16 : x
  2. Step 2: Convert to fraction form
    209.51/289.17 = 154.16/x
  3. Step 3: Cross multiply
    209.51x = 289.17 × 154.16
  4. Step 4: Simplify right side
    209.51x = 44,577.00
  5. Step 5: Solve for x
    x = 44,577.00/209.51
  6. Step 6: Final answer
    x = 212.77

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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.