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Finding the Fourth Proportional to 147.88, 223.11 and 147.48

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Solution

The fourth proportional to 147.88, 223.11 and 147.48 is: 222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.88 : 223.11 = 147.48 : x
  2. Step 2: Convert to fraction form
    147.88/223.11 = 147.48/x
  3. Step 3: Cross multiply
    147.88x = 223.11 × 147.48
  4. Step 4: Simplify right side
    147.88x = 32,904.26
  5. Step 5: Solve for x
    x = 32,904.26/147.88
  6. Step 6: Final answer
    x = 222.51

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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.