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Finding the Fourth Proportional to 320.70, 478.50 and 297.12

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Solution

The fourth proportional to 320.70, 478.50 and 297.12 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.70 : 478.50 = 297.12 : x
  2. Step 2: Convert to fraction form
    320.70/478.50 = 297.12/x
  3. Step 3: Cross multiply
    320.70x = 478.50 × 297.12
  4. Step 4: Simplify right side
    320.70x = 142,171.92
  5. Step 5: Solve for x
    x = 142,171.92/320.70
  6. Step 6: Final answer
    x = 443.32

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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.