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Finding the Fourth Proportional to 148.64, 205.11 and 85.62

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Solution

The fourth proportional to 148.64, 205.11 and 85.62 is: 118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.64 : 205.11 = 85.62 : x
  2. Step 2: Convert to fraction form
    148.64/205.11 = 85.62/x
  3. Step 3: Cross multiply
    148.64x = 205.11 × 85.62
  4. Step 4: Simplify right side
    148.64x = 17,561.07
  5. Step 5: Solve for x
    x = 17,561.07/148.64
  6. Step 6: Final answer
    x = 118.15

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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.