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Finding the Fourth Proportional to 504.88, 757.15 and 192.46

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Solution

The fourth proportional to 504.88, 757.15 and 192.46 is: 288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.88 : 757.15 = 192.46 : x
  2. Step 2: Convert to fraction form
    504.88/757.15 = 192.46/x
  3. Step 3: Cross multiply
    504.88x = 757.15 × 192.46
  4. Step 4: Simplify right side
    504.88x = 145,717.30
  5. Step 5: Solve for x
    x = 145,717.30/504.88
  6. Step 6: Final answer
    x = 288.62

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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.