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Finding the Fourth Proportional to 184.47, 254.60 and 153.34

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Solution

The fourth proportional to 184.47, 254.60 and 153.34 is: 211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.47 : 254.60 = 153.34 : x
  2. Step 2: Convert to fraction form
    184.47/254.60 = 153.34/x
  3. Step 3: Cross multiply
    184.47x = 254.60 × 153.34
  4. Step 4: Simplify right side
    184.47x = 39,039.60
  5. Step 5: Solve for x
    x = 39,039.60/184.47
  6. Step 6: Final answer
    x = 211.64

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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.