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Finding the Fourth Proportional to 148.37, 204.77 and 86.19

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Solution

The fourth proportional to 148.37, 204.77 and 86.19 is: 118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.37 : 204.77 = 86.19 : x
  2. Step 2: Convert to fraction form
    148.37/204.77 = 86.19/x
  3. Step 3: Cross multiply
    148.37x = 204.77 × 86.19
  4. Step 4: Simplify right side
    148.37x = 17,648.70
  5. Step 5: Solve for x
    x = 17,648.70/148.37
  6. Step 6: Final answer
    x = 118.95

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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.