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Finding the Fourth Proportional to 437.61, 602.71 and 344.22

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Solution

The fourth proportional to 437.61, 602.71 and 344.22 is: 474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.61 : 602.71 = 344.22 : x
  2. Step 2: Convert to fraction form
    437.61/602.71 = 344.22/x
  3. Step 3: Cross multiply
    437.61x = 602.71 × 344.22
  4. Step 4: Simplify right side
    437.61x = 207,464.84
  5. Step 5: Solve for x
    x = 207,464.84/437.61
  6. Step 6: Final answer
    x = 474.09

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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.