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Finding the Fourth Proportional to 288.04, 431.58 and 259.24

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Solution

The fourth proportional to 288.04, 431.58 and 259.24 is: 388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.04 : 431.58 = 259.24 : x
  2. Step 2: Convert to fraction form
    288.04/431.58 = 259.24/x
  3. Step 3: Cross multiply
    288.04x = 431.58 × 259.24
  4. Step 4: Simplify right side
    288.04x = 111,882.80
  5. Step 5: Solve for x
    x = 111,882.80/288.04
  6. Step 6: Final answer
    x = 388.43

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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.