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Finding the Fourth Proportional to 169, 251.57 and 164.20

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Solution

The fourth proportional to 169, 251.57 and 164.20 is: 244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    169 : 251.57 = 164.20 : x
  2. Step 2: Convert to fraction form
    169/251.57 = 164.20/x
  3. Step 3: Cross multiply
    169x = 251.57 × 164.20
  4. Step 4: Simplify right side
    169x = 41,307.79
  5. Step 5: Solve for x
    x = 41,307.79/169
  6. Step 6: Final answer
    x = 244.42

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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.