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Finding the Fourth Proportional to 491.72, 737.60 and 167.11

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Solution

The fourth proportional to 491.72, 737.60 and 167.11 is: 250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.72 : 737.60 = 167.11 : x
  2. Step 2: Convert to fraction form
    491.72/737.60 = 167.11/x
  3. Step 3: Cross multiply
    491.72x = 737.60 × 167.11
  4. Step 4: Simplify right side
    491.72x = 123,260.34
  5. Step 5: Solve for x
    x = 123,260.34/491.72
  6. Step 6: Final answer
    x = 250.67

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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.