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Finding the Fourth Proportional to 164.57, 245.13 and 164.26

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Solution

The fourth proportional to 164.57, 245.13 and 164.26 is: 244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.57 : 245.13 = 164.26 : x
  2. Step 2: Convert to fraction form
    164.57/245.13 = 164.26/x
  3. Step 3: Cross multiply
    164.57x = 245.13 × 164.26
  4. Step 4: Simplify right side
    164.57x = 40,263.83
  5. Step 5: Solve for x
    x = 40,263.83/164.57
  6. Step 6: Final answer
    x = 244.66

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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.