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Finding the Fourth Proportional to 332.30, 458.63 and 192.41

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Solution

The fourth proportional to 332.30, 458.63 and 192.41 is: 265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.30 : 458.63 = 192.41 : x
  2. Step 2: Convert to fraction form
    332.30/458.63 = 192.41/x
  3. Step 3: Cross multiply
    332.30x = 458.63 × 192.41
  4. Step 4: Simplify right side
    332.30x = 88,244.18
  5. Step 5: Solve for x
    x = 88,244.18/332.30
  6. Step 6: Final answer
    x = 265.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.