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Finding the Fourth Proportional to 288.49, 431.70 and 263.20

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Solution

The fourth proportional to 288.49, 431.70 and 263.20 is: 393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.49 : 431.70 = 263.20 : x
  2. Step 2: Convert to fraction form
    288.49/431.70 = 263.20/x
  3. Step 3: Cross multiply
    288.49x = 431.70 × 263.20
  4. Step 4: Simplify right side
    288.49x = 113,624.40
  5. Step 5: Solve for x
    x = 113,624.40/288.49
  6. Step 6: Final answer
    x = 393.86

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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.