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Finding the Fourth Proportional to 148.15, 204.42 and 127.39

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Solution

The fourth proportional to 148.15, 204.42 and 127.39 is: 175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.15 : 204.42 = 127.39 : x
  2. Step 2: Convert to fraction form
    148.15/204.42 = 127.39/x
  3. Step 3: Cross multiply
    148.15x = 204.42 × 127.39
  4. Step 4: Simplify right side
    148.15x = 26,041.06
  5. Step 5: Solve for x
    x = 26,041.06/148.15
  6. Step 6: Final answer
    x = 175.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.