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Finding the Fourth Proportional to 147.06, 202.64 and 141.66

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Solution

The fourth proportional to 147.06, 202.64 and 141.66 is: 195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.06 : 202.64 = 141.66 : x
  2. Step 2: Convert to fraction form
    147.06/202.64 = 141.66/x
  3. Step 3: Cross multiply
    147.06x = 202.64 × 141.66
  4. Step 4: Simplify right side
    147.06x = 28,705.27
  5. Step 5: Solve for x
    x = 28,705.27/147.06
  6. Step 6: Final answer
    x = 195.19

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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.