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Finding the Fourth Proportional to 362.68, 503.85 and 359.30

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Solution

The fourth proportional to 362.68, 503.85 and 359.30 is: 499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.68 : 503.85 = 359.30 : x
  2. Step 2: Convert to fraction form
    362.68/503.85 = 359.30/x
  3. Step 3: Cross multiply
    362.68x = 503.85 × 359.30
  4. Step 4: Simplify right side
    362.68x = 181,033.31
  5. Step 5: Solve for x
    x = 181,033.31/362.68
  6. Step 6: Final answer
    x = 499.15

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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.