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Finding the Fourth Proportional to 164.82, 245.22 and 156.18

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Solution

The fourth proportional to 164.82, 245.22 and 156.18 is: 232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.82 : 245.22 = 156.18 : x
  2. Step 2: Convert to fraction form
    164.82/245.22 = 156.18/x
  3. Step 3: Cross multiply
    164.82x = 245.22 × 156.18
  4. Step 4: Simplify right side
    164.82x = 38,298.46
  5. Step 5: Solve for x
    x = 38,298.46/164.82
  6. Step 6: Final answer
    x = 232.37

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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.