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Finding the Fourth Proportional to 153.58, 212.17 and 118.70

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Solution

The fourth proportional to 153.58, 212.17 and 118.70 is: 163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.58 : 212.17 = 118.70 : x
  2. Step 2: Convert to fraction form
    153.58/212.17 = 118.70/x
  3. Step 3: Cross multiply
    153.58x = 212.17 × 118.70
  4. Step 4: Simplify right side
    153.58x = 25,184.24
  5. Step 5: Solve for x
    x = 25,184.24/153.58
  6. Step 6: Final answer
    x = 163.98

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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.