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Finding the Fourth Proportional to 164.48, 245.54 and 142.88

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Solution

The fourth proportional to 164.48, 245.54 and 142.88 is: 213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.48 : 245.54 = 142.88 : x
  2. Step 2: Convert to fraction form
    164.48/245.54 = 142.88/x
  3. Step 3: Cross multiply
    164.48x = 245.54 × 142.88
  4. Step 4: Simplify right side
    164.48x = 35,082.76
  5. Step 5: Solve for x
    x = 35,082.76/164.48
  6. Step 6: Final answer
    x = 213.29

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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.