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Finding the Fourth Proportional to 147.60, 203.64 and 105.64

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Solution

The fourth proportional to 147.60, 203.64 and 105.64 is: 145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.60 : 203.64 = 105.64 : x
  2. Step 2: Convert to fraction form
    147.60/203.64 = 105.64/x
  3. Step 3: Cross multiply
    147.60x = 203.64 × 105.64
  4. Step 4: Simplify right side
    147.60x = 21,512.53
  5. Step 5: Solve for x
    x = 21,512.53/147.60
  6. Step 6: Final answer
    x = 145.75

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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.