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Finding the Fourth Proportional to 192.40, 287.06 and 174.46

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Solution

The fourth proportional to 192.40, 287.06 and 174.46 is: 260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.40 : 287.06 = 174.46 : x
  2. Step 2: Convert to fraction form
    192.40/287.06 = 174.46/x
  3. Step 3: Cross multiply
    192.40x = 287.06 × 174.46
  4. Step 4: Simplify right side
    192.40x = 50,080.49
  5. Step 5: Solve for x
    x = 50,080.49/192.40
  6. Step 6: Final answer
    x = 260.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.