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Finding the Fourth Proportional to 147.15, 202.68 and 139.01

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Solution

The fourth proportional to 147.15, 202.68 and 139.01 is: 191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.15 : 202.68 = 139.01 : x
  2. Step 2: Convert to fraction form
    147.15/202.68 = 139.01/x
  3. Step 3: Cross multiply
    147.15x = 202.68 × 139.01
  4. Step 4: Simplify right side
    147.15x = 28,173.53
  5. Step 5: Solve for x
    x = 28,173.53/147.15
  6. Step 6: Final answer
    x = 191.46

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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.