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Finding the Fourth Proportional to 152.89, 211.26 and 113.70

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Solution

The fourth proportional to 152.89, 211.26 and 113.70 is: 157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.89 : 211.26 = 113.70 : x
  2. Step 2: Convert to fraction form
    152.89/211.26 = 113.70/x
  3. Step 3: Cross multiply
    152.89x = 211.26 × 113.70
  4. Step 4: Simplify right side
    152.89x = 24,020.84
  5. Step 5: Solve for x
    x = 24,020.84/152.89
  6. Step 6: Final answer
    x = 157.11

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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.