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Finding the Fourth Proportional to 362.76, 500.32 and 319

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Solution

The fourth proportional to 362.76, 500.32 and 319 is: 439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.76 : 500.32 = 319 : x
  2. Step 2: Convert to fraction form
    362.76/500.32 = 319/x
  3. Step 3: Cross multiply
    362.76x = 500.32 × 319
  4. Step 4: Simplify right side
    362.76x = 159,602.08
  5. Step 5: Solve for x
    x = 159,602.08/362.76
  6. Step 6: Final answer
    x = 439.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.