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Finding the Fourth Proportional to 153.98, 212.43 and 94.92

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Solution

The fourth proportional to 153.98, 212.43 and 94.92 is: 130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.98 : 212.43 = 94.92 : x
  2. Step 2: Convert to fraction form
    153.98/212.43 = 94.92/x
  3. Step 3: Cross multiply
    153.98x = 212.43 × 94.92
  4. Step 4: Simplify right side
    153.98x = 20,163.86
  5. Step 5: Solve for x
    x = 20,163.86/153.98
  6. Step 6: Final answer
    x = 130.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.