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Finding the Fourth Proportional to 133.37, 184.03 and 78.10

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Solution

The fourth proportional to 133.37, 184.03 and 78.10 is: 107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.37 : 184.03 = 78.10 : x
  2. Step 2: Convert to fraction form
    133.37/184.03 = 78.10/x
  3. Step 3: Cross multiply
    133.37x = 184.03 × 78.10
  4. Step 4: Simplify right side
    133.37x = 14,372.74
  5. Step 5: Solve for x
    x = 14,372.74/133.37
  6. Step 6: Final answer
    x = 107.77

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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.