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Finding the Fourth Proportional to 146.93, 221.51 and 145.71

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Solution

The fourth proportional to 146.93, 221.51 and 145.71 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.93 : 221.51 = 145.71 : x
  2. Step 2: Convert to fraction form
    146.93/221.51 = 145.71/x
  3. Step 3: Cross multiply
    146.93x = 221.51 × 145.71
  4. Step 4: Simplify right side
    146.93x = 32,276.59
  5. Step 5: Solve for x
    x = 32,276.59/146.93
  6. Step 6: Final answer
    x = 219.68

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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.