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Finding the Fourth Proportional to 184.64, 254.94 and 155.48

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Solution

The fourth proportional to 184.64, 254.94 and 155.48 is: 214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.64 : 254.94 = 155.48 : x
  2. Step 2: Convert to fraction form
    184.64/254.94 = 155.48/x
  3. Step 3: Cross multiply
    184.64x = 254.94 × 155.48
  4. Step 4: Simplify right side
    184.64x = 39,638.07
  5. Step 5: Solve for x
    x = 39,638.07/184.64
  6. Step 6: Final answer
    x = 214.68

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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.