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Finding the Fourth Proportional to 320.74, 479.90 and 190.26

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Solution

The fourth proportional to 320.74, 479.90 and 190.26 is: 284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.74 : 479.90 = 190.26 : x
  2. Step 2: Convert to fraction form
    320.74/479.90 = 190.26/x
  3. Step 3: Cross multiply
    320.74x = 479.90 × 190.26
  4. Step 4: Simplify right side
    320.74x = 91,306.25
  5. Step 5: Solve for x
    x = 91,306.25/320.74
  6. Step 6: Final answer
    x = 284.68

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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.