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Finding the Fourth Proportional to 320.64, 444.66 and 308.58

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Solution

The fourth proportional to 320.64, 444.66 and 308.58 is: 427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.64 : 444.66 = 308.58 : x
  2. Step 2: Convert to fraction form
    320.64/444.66 = 308.58/x
  3. Step 3: Cross multiply
    320.64x = 444.66 × 308.58
  4. Step 4: Simplify right side
    320.64x = 137,213.18
  5. Step 5: Solve for x
    x = 137,213.18/320.64
  6. Step 6: Final answer
    x = 427.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.