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Finding the Fourth Proportional to 210.92, 314.86 and 182.22

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Solution

The fourth proportional to 210.92, 314.86 and 182.22 is: 272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.92 : 314.86 = 182.22 : x
  2. Step 2: Convert to fraction form
    210.92/314.86 = 182.22/x
  3. Step 3: Cross multiply
    210.92x = 314.86 × 182.22
  4. Step 4: Simplify right side
    210.92x = 57,372.28
  5. Step 5: Solve for x
    x = 57,372.28/210.92
  6. Step 6: Final answer
    x = 272.01

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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.