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Finding the Fourth Proportional to 288.55, 398.09 and 162.49

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Solution

The fourth proportional to 288.55, 398.09 and 162.49 is: 224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.55 : 398.09 = 162.49 : x
  2. Step 2: Convert to fraction form
    288.55/398.09 = 162.49/x
  3. Step 3: Cross multiply
    288.55x = 398.09 × 162.49
  4. Step 4: Simplify right side
    288.55x = 64,682.84
  5. Step 5: Solve for x
    x = 64,682.84/288.55
  6. Step 6: Final answer
    x = 224.17

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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.