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Finding the Fourth Proportional to 212.34, 318.54 and 75.42

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Solution

The fourth proportional to 212.34, 318.54 and 75.42 is: 113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.34 : 318.54 = 75.42 : x
  2. Step 2: Convert to fraction form
    212.34/318.54 = 75.42/x
  3. Step 3: Cross multiply
    212.34x = 318.54 × 75.42
  4. Step 4: Simplify right side
    212.34x = 24,024.29
  5. Step 5: Solve for x
    x = 24,024.29/212.34
  6. Step 6: Final answer
    x = 113.14

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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.