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Finding the Fourth Proportional to 162.49, 241.62 and 159.40

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Solution

The fourth proportional to 162.49, 241.62 and 159.40 is: 237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.49 : 241.62 = 159.40 : x
  2. Step 2: Convert to fraction form
    162.49/241.62 = 159.40/x
  3. Step 3: Cross multiply
    162.49x = 241.62 × 159.40
  4. Step 4: Simplify right side
    162.49x = 38,514.23
  5. Step 5: Solve for x
    x = 38,514.23/162.49
  6. Step 6: Final answer
    x = 237.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.