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Finding the Fourth Proportional to 133.59, 184.29 and 118.00

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Solution

The fourth proportional to 133.59, 184.29 and 118.00 is: 162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.59 : 184.29 = 118.00 : x
  2. Step 2: Convert to fraction form
    133.59/184.29 = 118.00/x
  3. Step 3: Cross multiply
    133.59x = 184.29 × 118.00
  4. Step 4: Simplify right side
    133.59x = 21,746.01
  5. Step 5: Solve for x
    x = 21,746.01/133.59
  6. Step 6: Final answer
    x = 162.78

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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.