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Finding the Fourth Proportional to 349.44, 480.64 and 297.60

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Solution

The fourth proportional to 349.44, 480.64 and 297.60 is: 409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.44 : 480.64 = 297.60 : x
  2. Step 2: Convert to fraction form
    349.44/480.64 = 297.60/x
  3. Step 3: Cross multiply
    349.44x = 480.64 × 297.60
  4. Step 4: Simplify right side
    349.44x = 143,038.46
  5. Step 5: Solve for x
    x = 143,038.46/349.44
  6. Step 6: Final answer
    x = 409.34

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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.