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Finding the Fourth Proportional to 340.40, 469.44 and 224

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Solution

The fourth proportional to 340.40, 469.44 and 224 is: 308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.40 : 469.44 = 224 : x
  2. Step 2: Convert to fraction form
    340.40/469.44 = 224/x
  3. Step 3: Cross multiply
    340.40x = 469.44 × 224
  4. Step 4: Simplify right side
    340.40x = 105,154.56
  5. Step 5: Solve for x
    x = 105,154.56/340.40
  6. Step 6: Final answer
    x = 308.91

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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.