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Finding the Fourth Proportional to 147.02, 201.69 and 137.70

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Solution

The fourth proportional to 147.02, 201.69 and 137.70 is: 188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.02 : 201.69 = 137.70 : x
  2. Step 2: Convert to fraction form
    147.02/201.69 = 137.70/x
  3. Step 3: Cross multiply
    147.02x = 201.69 × 137.70
  4. Step 4: Simplify right side
    147.02x = 27,772.71
  5. Step 5: Solve for x
    x = 27,772.71/147.02
  6. Step 6: Final answer
    x = 188.91

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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.