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Finding the Fourth Proportional to 332, 458.06 and 192.12

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Solution

The fourth proportional to 332, 458.06 and 192.12 is: 265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    332 : 458.06 = 192.12 : x
  2. Step 2: Convert to fraction form
    332/458.06 = 192.12/x
  3. Step 3: Cross multiply
    332x = 458.06 × 192.12
  4. Step 4: Simplify right side
    332x = 88,002.49
  5. Step 5: Solve for x
    x = 88,002.49/332
  6. Step 6: Final answer
    x = 265.07

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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.