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Finding the Fourth Proportional to 148.08, 205.63 and 146.87

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Solution

The fourth proportional to 148.08, 205.63 and 146.87 is: 203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.08 : 205.63 = 146.87 : x
  2. Step 2: Convert to fraction form
    148.08/205.63 = 146.87/x
  3. Step 3: Cross multiply
    148.08x = 205.63 × 146.87
  4. Step 4: Simplify right side
    148.08x = 30,200.88
  5. Step 5: Solve for x
    x = 30,200.88/148.08
  6. Step 6: Final answer
    x = 203.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.