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Finding the Fourth Proportional to 320.24, 479.72 and 255.34

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Solution

The fourth proportional to 320.24, 479.72 and 255.34 is: 382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.24 : 479.72 = 255.34 : x
  2. Step 2: Convert to fraction form
    320.24/479.72 = 255.34/x
  3. Step 3: Cross multiply
    320.24x = 479.72 × 255.34
  4. Step 4: Simplify right side
    320.24x = 122,491.70
  5. Step 5: Solve for x
    x = 122,491.70/320.24
  6. Step 6: Final answer
    x = 382.50

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1.5x scale

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.