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Finding the Fourth Proportional to 319.72, 479.68 and 243.05

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Solution

The fourth proportional to 319.72, 479.68 and 243.05 is: 364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.72 : 479.68 = 243.05 : x
  2. Step 2: Convert to fraction form
    319.72/479.68 = 243.05/x
  3. Step 3: Cross multiply
    319.72x = 479.68 × 243.05
  4. Step 4: Simplify right side
    319.72x = 116,585.02
  5. Step 5: Solve for x
    x = 116,585.02/319.72
  6. Step 6: Final answer
    x = 364.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.