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Finding the Fourth Proportional to 526.92, 790.46 and 161.67

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Solution

The fourth proportional to 526.92, 790.46 and 161.67 is: 242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.92 : 790.46 = 161.67 : x
  2. Step 2: Convert to fraction form
    526.92/790.46 = 161.67/x
  3. Step 3: Cross multiply
    526.92x = 790.46 × 161.67
  4. Step 4: Simplify right side
    526.92x = 127,793.67
  5. Step 5: Solve for x
    x = 127,793.67/526.92
  6. Step 6: Final answer
    x = 242.53

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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.