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Finding the Fourth Proportional to 145.63, 219.30 and 105.33

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Solution

The fourth proportional to 145.63, 219.30 and 105.33 is: 158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.63 : 219.30 = 105.33 : x
  2. Step 2: Convert to fraction form
    145.63/219.30 = 105.33/x
  3. Step 3: Cross multiply
    145.63x = 219.30 × 105.33
  4. Step 4: Simplify right side
    145.63x = 23,098.87
  5. Step 5: Solve for x
    x = 23,098.87/145.63
  6. Step 6: Final answer
    x = 158.61

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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.