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Finding the Fourth Proportional to 320.59, 479.64 and 243.78

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Solution

The fourth proportional to 320.59, 479.64 and 243.78 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.59 : 479.64 = 243.78 : x
  2. Step 2: Convert to fraction form
    320.59/479.64 = 243.78/x
  3. Step 3: Cross multiply
    320.59x = 479.64 × 243.78
  4. Step 4: Simplify right side
    320.59x = 116,925.44
  5. Step 5: Solve for x
    x = 116,925.44/320.59
  6. Step 6: Final answer
    x = 364.72

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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.