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Finding the Fourth Proportional to 329.63, 453.47 and 292.70

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Solution

The fourth proportional to 329.63, 453.47 and 292.70 is: 402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.63 : 453.47 = 292.70 : x
  2. Step 2: Convert to fraction form
    329.63/453.47 = 292.70/x
  3. Step 3: Cross multiply
    329.63x = 453.47 × 292.70
  4. Step 4: Simplify right side
    329.63x = 132,730.34
  5. Step 5: Solve for x
    x = 132,730.34/329.63
  6. Step 6: Final answer
    x = 402.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.