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Finding the Fourth Proportional to 147.45, 203.35 and 103.22

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Solution

The fourth proportional to 147.45, 203.35 and 103.22 is: 142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.45 : 203.35 = 103.22 : x
  2. Step 2: Convert to fraction form
    147.45/203.35 = 103.22/x
  3. Step 3: Cross multiply
    147.45x = 203.35 × 103.22
  4. Step 4: Simplify right side
    147.45x = 20,989.51
  5. Step 5: Solve for x
    x = 20,989.51/147.45
  6. Step 6: Final answer
    x = 142.35

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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.