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Finding the Fourth Proportional to 288.07, 431.36 and 210.97

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Solution

The fourth proportional to 288.07, 431.36 and 210.97 is: 315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.07 : 431.36 = 210.97 : x
  2. Step 2: Convert to fraction form
    288.07/431.36 = 210.97/x
  3. Step 3: Cross multiply
    288.07x = 431.36 × 210.97
  4. Step 4: Simplify right side
    288.07x = 91,004.29
  5. Step 5: Solve for x
    x = 91,004.29/288.07
  6. Step 6: Final answer
    x = 315.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.