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Finding the Fourth Proportional to 500.40, 690.36 and 293.28

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Solution

The fourth proportional to 500.40, 690.36 and 293.28 is: 404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 690.36 = 293.28 : x
  2. Step 2: Convert to fraction form
    500.40/690.36 = 293.28/x
  3. Step 3: Cross multiply
    500.40x = 690.36 × 293.28
  4. Step 4: Simplify right side
    500.40x = 202,468.78
  5. Step 5: Solve for x
    x = 202,468.78/500.40
  6. Step 6: Final answer
    x = 404.61

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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.