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Finding the Fourth Proportional to 190.45, 287.10 and 177.91

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Solution

The fourth proportional to 190.45, 287.10 and 177.91 is: 268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.45 : 287.10 = 177.91 : x
  2. Step 2: Convert to fraction form
    190.45/287.10 = 177.91/x
  3. Step 3: Cross multiply
    190.45x = 287.10 × 177.91
  4. Step 4: Simplify right side
    190.45x = 51,077.24
  5. Step 5: Solve for x
    x = 51,077.24/190.45
  6. Step 6: Final answer
    x = 268.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.