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Finding the Fourth Proportional to 210.86, 314.44 and 182.18

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Solution

The fourth proportional to 210.86, 314.44 and 182.18 is: 271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.86 : 314.44 = 182.18 : x
  2. Step 2: Convert to fraction form
    210.86/314.44 = 182.18/x
  3. Step 3: Cross multiply
    210.86x = 314.44 × 182.18
  4. Step 4: Simplify right side
    210.86x = 57,284.68
  5. Step 5: Solve for x
    x = 57,284.68/210.86
  6. Step 6: Final answer
    x = 271.67

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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.