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Finding the Fourth Proportional to 625.24, 937.80 and 192.40

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Solution

The fourth proportional to 625.24, 937.80 and 192.40 is: 288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.24 : 937.80 = 192.40 : x
  2. Step 2: Convert to fraction form
    625.24/937.80 = 192.40/x
  3. Step 3: Cross multiply
    625.24x = 937.80 × 192.40
  4. Step 4: Simplify right side
    625.24x = 180,432.72
  5. Step 5: Solve for x
    x = 180,432.72/625.24
  6. Step 6: Final answer
    x = 288.58

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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.