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Finding the Fourth Proportional to 375, 561.96 and 212.46

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Solution

The fourth proportional to 375, 561.96 and 212.46 is: 318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375 : 561.96 = 212.46 : x
  2. Step 2: Convert to fraction form
    375/561.96 = 212.46/x
  3. Step 3: Cross multiply
    375x = 561.96 × 212.46
  4. Step 4: Simplify right side
    375x = 119,394.02
  5. Step 5: Solve for x
    x = 119,394.02/375
  6. Step 6: Final answer
    x = 318.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.