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Finding the Fourth Proportional to 147.36, 221.58 and 135.48

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Solution

The fourth proportional to 147.36, 221.58 and 135.48 is: 203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.36 : 221.58 = 135.48 : x
  2. Step 2: Convert to fraction form
    147.36/221.58 = 135.48/x
  3. Step 3: Cross multiply
    147.36x = 221.58 × 135.48
  4. Step 4: Simplify right side
    147.36x = 30,019.66
  5. Step 5: Solve for x
    x = 30,019.66/147.36
  6. Step 6: Final answer
    x = 203.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.