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Finding the Fourth Proportional to 288.11, 397.57 and 162.07

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Solution

The fourth proportional to 288.11, 397.57 and 162.07 is: 223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.11 : 397.57 = 162.07 : x
  2. Step 2: Convert to fraction form
    288.11/397.57 = 162.07/x
  3. Step 3: Cross multiply
    288.11x = 397.57 × 162.07
  4. Step 4: Simplify right side
    288.11x = 64,434.17
  5. Step 5: Solve for x
    x = 64,434.17/288.11
  6. Step 6: Final answer
    x = 223.64

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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.