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Finding the Fourth Proportional to 162.51, 224.32 and 121.27

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Solution

The fourth proportional to 162.51, 224.32 and 121.27 is: 167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.51 : 224.32 = 121.27 : x
  2. Step 2: Convert to fraction form
    162.51/224.32 = 121.27/x
  3. Step 3: Cross multiply
    162.51x = 224.32 × 121.27
  4. Step 4: Simplify right side
    162.51x = 27,203.70
  5. Step 5: Solve for x
    x = 27,203.70/162.51
  6. Step 6: Final answer
    x = 167.40

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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.