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Finding the Fourth Proportional to 153.39, 210.95 and 121.94

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Solution

The fourth proportional to 153.39, 210.95 and 121.94 is: 167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.39 : 210.95 = 121.94 : x
  2. Step 2: Convert to fraction form
    153.39/210.95 = 121.94/x
  3. Step 3: Cross multiply
    153.39x = 210.95 × 121.94
  4. Step 4: Simplify right side
    153.39x = 25,722.49
  5. Step 5: Solve for x
    x = 25,722.49/153.39
  6. Step 6: Final answer
    x = 167.69

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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.