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Finding the Fourth Proportional to 504.20, 756.06 and 296.06

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Solution

The fourth proportional to 504.20, 756.06 and 296.06 is: 443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.20 : 756.06 = 296.06 : x
  2. Step 2: Convert to fraction form
    504.20/756.06 = 296.06/x
  3. Step 3: Cross multiply
    504.20x = 756.06 × 296.06
  4. Step 4: Simplify right side
    504.20x = 223,839.12
  5. Step 5: Solve for x
    x = 223,839.12/504.20
  6. Step 6: Final answer
    x = 443.95

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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.