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Finding the Fourth Proportional to 162.97, 244.37 and 70.40

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Solution

The fourth proportional to 162.97, 244.37 and 70.40 is: 105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.97 : 244.37 = 70.40 : x
  2. Step 2: Convert to fraction form
    162.97/244.37 = 70.40/x
  3. Step 3: Cross multiply
    162.97x = 244.37 × 70.40
  4. Step 4: Simplify right side
    162.97x = 17,204.43
  5. Step 5: Solve for x
    x = 17,204.43/162.97
  6. Step 6: Final answer
    x = 105.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.