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Finding the Fourth Proportional to 320.70, 477.72 and 292.62

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Solution

The fourth proportional to 320.70, 477.72 and 292.62 is: 435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.70 : 477.72 = 292.62 : x
  2. Step 2: Convert to fraction form
    320.70/477.72 = 292.62/x
  3. Step 3: Cross multiply
    320.70x = 477.72 × 292.62
  4. Step 4: Simplify right side
    320.70x = 139,790.43
  5. Step 5: Solve for x
    x = 139,790.43/320.70
  6. Step 6: Final answer
    x = 435.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.