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Finding the Fourth Proportional to 145.72, 219.90 and 140.76

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Solution

The fourth proportional to 145.72, 219.90 and 140.76 is: 212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.72 : 219.90 = 140.76 : x
  2. Step 2: Convert to fraction form
    145.72/219.90 = 140.76/x
  3. Step 3: Cross multiply
    145.72x = 219.90 × 140.76
  4. Step 4: Simplify right side
    145.72x = 30,953.12
  5. Step 5: Solve for x
    x = 30,953.12/145.72
  6. Step 6: Final answer
    x = 212.42

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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.