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Finding the Fourth Proportional to 164.73, 245.74 and 156.63

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Solution

The fourth proportional to 164.73, 245.74 and 156.63 is: 233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.73 : 245.74 = 156.63 : x
  2. Step 2: Convert to fraction form
    164.73/245.74 = 156.63/x
  3. Step 3: Cross multiply
    164.73x = 245.74 × 156.63
  4. Step 4: Simplify right side
    164.73x = 38,489.86
  5. Step 5: Solve for x
    x = 38,489.86/164.73
  6. Step 6: Final answer
    x = 233.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.