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Finding the Fourth Proportional to 210.18, 289.96 and 121.64

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Solution

The fourth proportional to 210.18, 289.96 and 121.64 is: 167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.18 : 289.96 = 121.64 : x
  2. Step 2: Convert to fraction form
    210.18/289.96 = 121.64/x
  3. Step 3: Cross multiply
    210.18x = 289.96 × 121.64
  4. Step 4: Simplify right side
    210.18x = 35,269.71
  5. Step 5: Solve for x
    x = 35,269.71/210.18
  6. Step 6: Final answer
    x = 167.81

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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.