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Finding the Fourth Proportional to 148.51, 224.02 and 142.15

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Solution

The fourth proportional to 148.51, 224.02 and 142.15 is: 214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.51 : 224.02 = 142.15 : x
  2. Step 2: Convert to fraction form
    148.51/224.02 = 142.15/x
  3. Step 3: Cross multiply
    148.51x = 224.02 × 142.15
  4. Step 4: Simplify right side
    148.51x = 31,844.44
  5. Step 5: Solve for x
    x = 31,844.44/148.51
  6. Step 6: Final answer
    x = 214.43

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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.