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Finding the Fourth Proportional to 212.85, 320.52 and 186.12

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Solution

The fourth proportional to 212.85, 320.52 and 186.12 is: 280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.85 : 320.52 = 186.12 : x
  2. Step 2: Convert to fraction form
    212.85/320.52 = 186.12/x
  3. Step 3: Cross multiply
    212.85x = 320.52 × 186.12
  4. Step 4: Simplify right side
    212.85x = 59,655.18
  5. Step 5: Solve for x
    x = 59,655.18/212.85
  6. Step 6: Final answer
    x = 280.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.