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Finding the Fourth Proportional to 438.24, 605.10 and 345.44

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Solution

The fourth proportional to 438.24, 605.10 and 345.44 is: 476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.24 : 605.10 = 345.44 : x
  2. Step 2: Convert to fraction form
    438.24/605.10 = 345.44/x
  3. Step 3: Cross multiply
    438.24x = 605.10 × 345.44
  4. Step 4: Simplify right side
    438.24x = 209,025.74
  5. Step 5: Solve for x
    x = 209,025.74/438.24
  6. Step 6: Final answer
    x = 476.97

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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.