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Finding the Fourth Proportional to 162.48, 244.90 and 153.68

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Solution

The fourth proportional to 162.48, 244.90 and 153.68 is: 231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.48 : 244.90 = 153.68 : x
  2. Step 2: Convert to fraction form
    162.48/244.90 = 153.68/x
  3. Step 3: Cross multiply
    162.48x = 244.90 × 153.68
  4. Step 4: Simplify right side
    162.48x = 37,636.23
  5. Step 5: Solve for x
    x = 37,636.23/162.48
  6. Step 6: Final answer
    x = 231.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.