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Finding the Fourth Proportional to 164.42, 245.26 and 158.94

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Solution

The fourth proportional to 164.42, 245.26 and 158.94 is: 237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.42 : 245.26 = 158.94 : x
  2. Step 2: Convert to fraction form
    164.42/245.26 = 158.94/x
  3. Step 3: Cross multiply
    164.42x = 245.26 × 158.94
  4. Step 4: Simplify right side
    164.42x = 38,981.62
  5. Step 5: Solve for x
    x = 38,981.62/164.42
  6. Step 6: Final answer
    x = 237.09

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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.