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Finding the Fourth Proportional to 452.15, 678.22 and 192.11

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Solution

The fourth proportional to 452.15, 678.22 and 192.11 is: 288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.15 : 678.22 = 192.11 : x
  2. Step 2: Convert to fraction form
    452.15/678.22 = 192.11/x
  3. Step 3: Cross multiply
    452.15x = 678.22 × 192.11
  4. Step 4: Simplify right side
    452.15x = 130,295.02
  5. Step 5: Solve for x
    x = 130,295.02/452.15
  6. Step 6: Final answer
    x = 288.17

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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.