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Finding the Fourth Proportional to 145.88, 217.81 and 102.21

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Solution

The fourth proportional to 145.88, 217.81 and 102.21 is: 152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.88 : 217.81 = 102.21 : x
  2. Step 2: Convert to fraction form
    145.88/217.81 = 102.21/x
  3. Step 3: Cross multiply
    145.88x = 217.81 × 102.21
  4. Step 4: Simplify right side
    145.88x = 22,262.36
  5. Step 5: Solve for x
    x = 22,262.36/145.88
  6. Step 6: Final answer
    x = 152.61

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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.