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Finding the Fourth Proportional to 344.64, 469.20 and 338.88

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Solution

The fourth proportional to 344.64, 469.20 and 338.88 is: 461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.64 : 469.20 = 338.88 : x
  2. Step 2: Convert to fraction form
    344.64/469.20 = 338.88/x
  3. Step 3: Cross multiply
    344.64x = 469.20 × 338.88
  4. Step 4: Simplify right side
    344.64x = 159,002.50
  5. Step 5: Solve for x
    x = 159,002.50/344.64
  6. Step 6: Final answer
    x = 461.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.