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Finding the Fourth Proportional to 504.38, 756.39 and 215.75

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Solution

The fourth proportional to 504.38, 756.39 and 215.75 is: 323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.38 : 756.39 = 215.75 : x
  2. Step 2: Convert to fraction form
    504.38/756.39 = 215.75/x
  3. Step 3: Cross multiply
    504.38x = 756.39 × 215.75
  4. Step 4: Simplify right side
    504.38x = 163,191.14
  5. Step 5: Solve for x
    x = 163,191.14/504.38
  6. Step 6: Final answer
    x = 323.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.