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Finding the Fourth Proportional to 624.96, 937.49 and 192.15

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Solution

The fourth proportional to 624.96, 937.49 and 192.15 is: 288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.96 : 937.49 = 192.15 : x
  2. Step 2: Convert to fraction form
    624.96/937.49 = 192.15/x
  3. Step 3: Cross multiply
    624.96x = 937.49 × 192.15
  4. Step 4: Simplify right side
    624.96x = 180,137.74
  5. Step 5: Solve for x
    x = 180,137.74/624.96
  6. Step 6: Final answer
    x = 288.24

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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.