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Finding the Fourth Proportional to 147.68, 202.19 and 147.16

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Solution

The fourth proportional to 147.68, 202.19 and 147.16 is: 201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.68 : 202.19 = 147.16 : x
  2. Step 2: Convert to fraction form
    147.68/202.19 = 147.16/x
  3. Step 3: Cross multiply
    147.68x = 202.19 × 147.16
  4. Step 4: Simplify right side
    147.68x = 29,752.53
  5. Step 5: Solve for x
    x = 29,752.53/147.68
  6. Step 6: Final answer
    x = 201.47

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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.