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Finding the Fourth Proportional to 156.58, 216 and 135.83

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Solution

The fourth proportional to 156.58, 216 and 135.83 is: 187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.58 : 216 = 135.83 : x
  2. Step 2: Convert to fraction form
    156.58/216 = 135.83/x
  3. Step 3: Cross multiply
    156.58x = 216 × 135.83
  4. Step 4: Simplify right side
    156.58x = 29,338.20
  5. Step 5: Solve for x
    x = 29,338.20/156.58
  6. Step 6: Final answer
    x = 187.37

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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.