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Finding the Fourth Proportional to 146.24, 217.72 and 145.52

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Solution

The fourth proportional to 146.24, 217.72 and 145.52 is: 216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.24 : 217.72 = 145.52 : x
  2. Step 2: Convert to fraction form
    146.24/217.72 = 145.52/x
  3. Step 3: Cross multiply
    146.24x = 217.72 × 145.52
  4. Step 4: Simplify right side
    146.24x = 31,682.61
  5. Step 5: Solve for x
    x = 31,682.61/146.24
  6. Step 6: Final answer
    x = 216.65

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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.