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Finding the Fourth Proportional to 147.72, 222.84 and 142.68

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Solution

The fourth proportional to 147.72, 222.84 and 142.68 is: 215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.72 : 222.84 = 142.68 : x
  2. Step 2: Convert to fraction form
    147.72/222.84 = 142.68/x
  3. Step 3: Cross multiply
    147.72x = 222.84 × 142.68
  4. Step 4: Simplify right side
    147.72x = 31,794.81
  5. Step 5: Solve for x
    x = 31,794.81/147.72
  6. Step 6: Final answer
    x = 215.24

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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.