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Finding the Fourth Proportional to 183.02, 275.46 and 137.60

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Solution

The fourth proportional to 183.02, 275.46 and 137.60 is: 207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.02 : 275.46 = 137.60 : x
  2. Step 2: Convert to fraction form
    183.02/275.46 = 137.60/x
  3. Step 3: Cross multiply
    183.02x = 275.46 × 137.60
  4. Step 4: Simplify right side
    183.02x = 37,903.30
  5. Step 5: Solve for x
    x = 37,903.30/183.02
  6. Step 6: Final answer
    x = 207.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.