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Finding the Fourth Proportional to 147.02, 202.86 and 100.48

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Solution

The fourth proportional to 147.02, 202.86 and 100.48 is: 138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.02 : 202.86 = 100.48 : x
  2. Step 2: Convert to fraction form
    147.02/202.86 = 100.48/x
  3. Step 3: Cross multiply
    147.02x = 202.86 × 100.48
  4. Step 4: Simplify right side
    147.02x = 20,383.37
  5. Step 5: Solve for x
    x = 20,383.37/147.02
  6. Step 6: Final answer
    x = 138.64

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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.