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Finding the Fourth Proportional to 362.32, 499.99 and 207.07

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Solution

The fourth proportional to 362.32, 499.99 and 207.07 is: 285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.32 : 499.99 = 207.07 : x
  2. Step 2: Convert to fraction form
    362.32/499.99 = 207.07/x
  3. Step 3: Cross multiply
    362.32x = 499.99 × 207.07
  4. Step 4: Simplify right side
    362.32x = 103,532.93
  5. Step 5: Solve for x
    x = 103,532.93/362.32
  6. Step 6: Final answer
    x = 285.75

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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.