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Finding the Fourth Proportional to 156.58, 235.03 and 91.64

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Solution

The fourth proportional to 156.58, 235.03 and 91.64 is: 137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.58 : 235.03 = 91.64 : x
  2. Step 2: Convert to fraction form
    156.58/235.03 = 91.64/x
  3. Step 3: Cross multiply
    156.58x = 235.03 × 91.64
  4. Step 4: Simplify right side
    156.58x = 21,538.51
  5. Step 5: Solve for x
    x = 21,538.51/156.58
  6. Step 6: Final answer
    x = 137.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.