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Finding the Fourth Proportional to 156.26, 216.64 and 152.62

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Solution

The fourth proportional to 156.26, 216.64 and 152.62 is: 211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.26 : 216.64 = 152.62 : x
  2. Step 2: Convert to fraction form
    156.26/216.64 = 152.62/x
  3. Step 3: Cross multiply
    156.26x = 216.64 × 152.62
  4. Step 4: Simplify right side
    156.26x = 33,063.25
  5. Step 5: Solve for x
    x = 33,063.25/156.26
  6. Step 6: Final answer
    x = 211.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.