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Finding the Fourth Proportional to 184.00, 253.84 and 121.90

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Solution

The fourth proportional to 184.00, 253.84 and 121.90 is: 168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.00 : 253.84 = 121.90 : x
  2. Step 2: Convert to fraction form
    184.00/253.84 = 121.90/x
  3. Step 3: Cross multiply
    184.00x = 253.84 × 121.90
  4. Step 4: Simplify right side
    184.00x = 30,941.22
  5. Step 5: Solve for x
    x = 30,941.22/184.00
  6. Step 6: Final answer
    x = 168.16

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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.