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Finding the Fourth Proportional to 156.25, 216.64 and 155.58

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Solution

The fourth proportional to 156.25, 216.64 and 155.58 is: 215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.25 : 216.64 = 155.58 : x
  2. Step 2: Convert to fraction form
    156.25/216.64 = 155.58/x
  3. Step 3: Cross multiply
    156.25x = 216.64 × 155.58
  4. Step 4: Simplify right side
    156.25x = 33,704.85
  5. Step 5: Solve for x
    x = 33,704.85/156.25
  6. Step 6: Final answer
    x = 215.71

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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.