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Finding the Fourth Proportional to 147.47, 203.20 and 108.07

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Solution

The fourth proportional to 147.47, 203.20 and 108.07 is: 148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.47 : 203.20 = 108.07 : x
  2. Step 2: Convert to fraction form
    147.47/203.20 = 108.07/x
  3. Step 3: Cross multiply
    147.47x = 203.20 × 108.07
  4. Step 4: Simplify right side
    147.47x = 21,959.05
  5. Step 5: Solve for x
    x = 21,959.05/147.47
  6. Step 6: Final answer
    x = 148.91

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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.