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Finding the Fourth Proportional to 184.31, 254.34 and 114.35

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Solution

The fourth proportional to 184.31, 254.34 and 114.35 is: 157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.31 : 254.34 = 114.35 : x
  2. Step 2: Convert to fraction form
    184.31/254.34 = 114.35/x
  3. Step 3: Cross multiply
    184.31x = 254.34 × 114.35
  4. Step 4: Simplify right side
    184.31x = 29,082.51
  5. Step 5: Solve for x
    x = 29,082.51/184.31
  6. Step 6: Final answer
    x = 157.79

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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.