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Finding the Fourth Proportional to 153.80, 212.18 and 94.77

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Solution

The fourth proportional to 153.80, 212.18 and 94.77 is: 130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.80 : 212.18 = 94.77 : x
  2. Step 2: Convert to fraction form
    153.80/212.18 = 94.77/x
  3. Step 3: Cross multiply
    153.80x = 212.18 × 94.77
  4. Step 4: Simplify right side
    153.80x = 20,107.53
  5. Step 5: Solve for x
    x = 20,107.53/153.80
  6. Step 6: Final answer
    x = 130.74

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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.