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Finding the Fourth Proportional to 438.12, 603.41 and 344.72

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Solution

The fourth proportional to 438.12, 603.41 and 344.72 is: 474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.12 : 603.41 = 344.72 : x
  2. Step 2: Convert to fraction form
    438.12/603.41 = 344.72/x
  3. Step 3: Cross multiply
    438.12x = 603.41 × 344.72
  4. Step 4: Simplify right side
    438.12x = 208,002.75
  5. Step 5: Solve for x
    x = 208,002.75/438.12
  6. Step 6: Final answer
    x = 474.76

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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.