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Finding the Fourth Proportional to 288.80, 434.01 and 224

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Solution

The fourth proportional to 288.80, 434.01 and 224 is: 336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.80 : 434.01 = 224 : x
  2. Step 2: Convert to fraction form
    288.80/434.01 = 224/x
  3. Step 3: Cross multiply
    288.80x = 434.01 × 224
  4. Step 4: Simplify right side
    288.80x = 97,218.24
  5. Step 5: Solve for x
    x = 97,218.24/288.80
  6. Step 6: Final answer
    x = 336.63

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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.