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Finding the Fourth Proportional to 184.47, 254.64 and 114.54

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Solution

The fourth proportional to 184.47, 254.64 and 114.54 is: 158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.47 : 254.64 = 114.54 : x
  2. Step 2: Convert to fraction form
    184.47/254.64 = 114.54/x
  3. Step 3: Cross multiply
    184.47x = 254.64 × 114.54
  4. Step 4: Simplify right side
    184.47x = 29,166.47
  5. Step 5: Solve for x
    x = 29,166.47/184.47
  6. Step 6: Final answer
    x = 158.11

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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.