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Finding the Fourth Proportional to 147.68, 202.60 and 139.40

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Solution

The fourth proportional to 147.68, 202.60 and 139.40 is: 191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.68 : 202.60 = 139.40 : x
  2. Step 2: Convert to fraction form
    147.68/202.60 = 139.40/x
  3. Step 3: Cross multiply
    147.68x = 202.60 × 139.40
  4. Step 4: Simplify right side
    147.68x = 28,242.44
  5. Step 5: Solve for x
    x = 28,242.44/147.68
  6. Step 6: Final answer
    x = 191.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.