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Finding the Fourth Proportional to 279.01, 384.99 and 160.97

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Solution

The fourth proportional to 279.01, 384.99 and 160.97 is: 222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.01 : 384.99 = 160.97 : x
  2. Step 2: Convert to fraction form
    279.01/384.99 = 160.97/x
  3. Step 3: Cross multiply
    279.01x = 384.99 × 160.97
  4. Step 4: Simplify right side
    279.01x = 61,969.31
  5. Step 5: Solve for x
    x = 61,969.31/279.01
  6. Step 6: Final answer
    x = 222.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.