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Finding the Fourth Proportional to 397.34, 595.72 and 137.18

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Solution

The fourth proportional to 397.34, 595.72 and 137.18 is: 205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.34 : 595.72 = 137.18 : x
  2. Step 2: Convert to fraction form
    397.34/595.72 = 137.18/x
  3. Step 3: Cross multiply
    397.34x = 595.72 × 137.18
  4. Step 4: Simplify right side
    397.34x = 81,720.87
  5. Step 5: Solve for x
    x = 81,720.87/397.34
  6. Step 6: Final answer
    x = 205.67

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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.