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Finding the Fourth Proportional to 147.33, 204.30 and 139.05

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Solution

The fourth proportional to 147.33, 204.30 and 139.05 is: 192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.33 : 204.30 = 139.05 : x
  2. Step 2: Convert to fraction form
    147.33/204.30 = 139.05/x
  3. Step 3: Cross multiply
    147.33x = 204.30 × 139.05
  4. Step 4: Simplify right side
    147.33x = 28,407.92
  5. Step 5: Solve for x
    x = 28,407.92/147.33
  6. Step 6: Final answer
    x = 192.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.