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Finding the Fourth Proportional to 210.35, 314.18 and 161.60

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Solution

The fourth proportional to 210.35, 314.18 and 161.60 is: 241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.35 : 314.18 = 161.60 : x
  2. Step 2: Convert to fraction form
    210.35/314.18 = 161.60/x
  3. Step 3: Cross multiply
    210.35x = 314.18 × 161.60
  4. Step 4: Simplify right side
    210.35x = 50,769.72
  5. Step 5: Solve for x
    x = 50,769.72/210.35
  6. Step 6: Final answer
    x = 241.36

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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.