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Finding the Fourth Proportional to 147.01, 202.63 and 142.65

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Solution

The fourth proportional to 147.01, 202.63 and 142.65 is: 196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.01 : 202.63 = 142.65 : x
  2. Step 2: Convert to fraction form
    147.01/202.63 = 142.65/x
  3. Step 3: Cross multiply
    147.01x = 202.63 × 142.65
  4. Step 4: Simplify right side
    147.01x = 28,905.17
  5. Step 5: Solve for x
    x = 28,905.17/147.01
  6. Step 6: Final answer
    x = 196.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.