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Finding the Fourth Proportional to 320.22, 479.55 and 289.44

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Solution

The fourth proportional to 320.22, 479.55 and 289.44 is: 433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.22 : 479.55 = 289.44 : x
  2. Step 2: Convert to fraction form
    320.22/479.55 = 289.44/x
  3. Step 3: Cross multiply
    320.22x = 479.55 × 289.44
  4. Step 4: Simplify right side
    320.22x = 138,802.04
  5. Step 5: Solve for x
    x = 138,802.04/320.22
  6. Step 6: Final answer
    x = 433.46

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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.