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Finding the Fourth Proportional to 362.64, 500.40 and 207.42

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Solution

The fourth proportional to 362.64, 500.40 and 207.42 is: 286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.64 : 500.40 = 207.42 : x
  2. Step 2: Convert to fraction form
    362.64/500.40 = 207.42/x
  3. Step 3: Cross multiply
    362.64x = 500.40 × 207.42
  4. Step 4: Simplify right side
    362.64x = 103,792.97
  5. Step 5: Solve for x
    x = 103,792.97/362.64
  6. Step 6: Final answer
    x = 286.21

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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.