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Finding the Fourth Proportional to 190.83, 287.40 and 168.24

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Solution

The fourth proportional to 190.83, 287.40 and 168.24 is: 253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.83 : 287.40 = 168.24 : x
  2. Step 2: Convert to fraction form
    190.83/287.40 = 168.24/x
  3. Step 3: Cross multiply
    190.83x = 287.40 × 168.24
  4. Step 4: Simplify right side
    190.83x = 48,352.18
  5. Step 5: Solve for x
    x = 48,352.18/190.83
  6. Step 6: Final answer
    x = 253.38

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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.