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Finding the Fourth Proportional to 467.70, 645.30 and 320.46

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Solution

The fourth proportional to 467.70, 645.30 and 320.46 is: 442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.70 : 645.30 = 320.46 : x
  2. Step 2: Convert to fraction form
    467.70/645.30 = 320.46/x
  3. Step 3: Cross multiply
    467.70x = 645.30 × 320.46
  4. Step 4: Simplify right side
    467.70x = 206,792.84
  5. Step 5: Solve for x
    x = 206,792.84/467.70
  6. Step 6: Final answer
    x = 442.15

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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.