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Finding the Fourth Proportional to 148.07, 204.36 and 103.79

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Solution

The fourth proportional to 148.07, 204.36 and 103.79 is: 143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.07 : 204.36 = 103.79 : x
  2. Step 2: Convert to fraction form
    148.07/204.36 = 103.79/x
  3. Step 3: Cross multiply
    148.07x = 204.36 × 103.79
  4. Step 4: Simplify right side
    148.07x = 21,209.50
  5. Step 5: Solve for x
    x = 21,209.50/148.07
  6. Step 6: Final answer
    x = 143.24

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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.