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Finding the Fourth Proportional to 212.45, 317.24 and 186.22

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Solution

The fourth proportional to 212.45, 317.24 and 186.22 is: 278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.45 : 317.24 = 186.22 : x
  2. Step 2: Convert to fraction form
    212.45/317.24 = 186.22/x
  3. Step 3: Cross multiply
    212.45x = 317.24 × 186.22
  4. Step 4: Simplify right side
    212.45x = 59,076.49
  5. Step 5: Solve for x
    x = 59,076.49/212.45
  6. Step 6: Final answer
    x = 278.08

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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.