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Finding the Fourth Proportional to 344, 473.64 and 307.04

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Solution

The fourth proportional to 344, 473.64 and 307.04 is: 422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344 : 473.64 = 307.04 : x
  2. Step 2: Convert to fraction form
    344/473.64 = 307.04/x
  3. Step 3: Cross multiply
    344x = 473.64 × 307.04
  4. Step 4: Simplify right side
    344x = 145,426.43
  5. Step 5: Solve for x
    x = 145,426.43/344
  6. Step 6: Final answer
    x = 422.75

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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.