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Finding the Fourth Proportional to 145.89, 217.22 and 145.21

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Solution

The fourth proportional to 145.89, 217.22 and 145.21 is: 216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.89 : 217.22 = 145.21 : x
  2. Step 2: Convert to fraction form
    145.89/217.22 = 145.21/x
  3. Step 3: Cross multiply
    145.89x = 217.22 × 145.21
  4. Step 4: Simplify right side
    145.89x = 31,542.88
  5. Step 5: Solve for x
    x = 31,542.88/145.89
  6. Step 6: Final answer
    x = 216.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.