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Finding the Fourth Proportional to 164.85, 226.16 and 152.70

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Solution

The fourth proportional to 164.85, 226.16 and 152.70 is: 209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.85 : 226.16 = 152.70 : x
  2. Step 2: Convert to fraction form
    164.85/226.16 = 152.70/x
  3. Step 3: Cross multiply
    164.85x = 226.16 × 152.70
  4. Step 4: Simplify right side
    164.85x = 34,533.87
  5. Step 5: Solve for x
    x = 34,533.87/164.85
  6. Step 6: Final answer
    x = 209.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.