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Finding the Fourth Proportional to 164.54, 245.26 and 154.10

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Solution

The fourth proportional to 164.54, 245.26 and 154.10 is: 229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.54 : 245.26 = 154.10 : x
  2. Step 2: Convert to fraction form
    164.54/245.26 = 154.10/x
  3. Step 3: Cross multiply
    164.54x = 245.26 × 154.10
  4. Step 4: Simplify right side
    164.54x = 37,794.57
  5. Step 5: Solve for x
    x = 37,794.57/164.54
  6. Step 6: Final answer
    x = 229.70

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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.