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Finding the Fourth Proportional to 153.60, 211.68 and 116.70

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Solution

The fourth proportional to 153.60, 211.68 and 116.70 is: 160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.60 : 211.68 = 116.70 : x
  2. Step 2: Convert to fraction form
    153.60/211.68 = 116.70/x
  3. Step 3: Cross multiply
    153.60x = 211.68 × 116.70
  4. Step 4: Simplify right side
    153.60x = 24,703.06
  5. Step 5: Solve for x
    x = 24,703.06/153.60
  6. Step 6: Final answer
    x = 160.83

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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.