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Finding the Fourth Proportional to 145.80, 219.76 and 137.43

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Solution

The fourth proportional to 145.80, 219.76 and 137.43 is: 207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.80 : 219.76 = 137.43 : x
  2. Step 2: Convert to fraction form
    145.80/219.76 = 137.43/x
  3. Step 3: Cross multiply
    145.80x = 219.76 × 137.43
  4. Step 4: Simplify right side
    145.80x = 30,201.62
  5. Step 5: Solve for x
    x = 30,201.62/145.80
  6. Step 6: Final answer
    x = 207.14

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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.