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Finding the Fourth Proportional to 401.88, 603.36 and 347.88

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Solution

The fourth proportional to 401.88, 603.36 and 347.88 is: 522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.88 : 603.36 = 347.88 : x
  2. Step 2: Convert to fraction form
    401.88/603.36 = 347.88/x
  3. Step 3: Cross multiply
    401.88x = 603.36 × 347.88
  4. Step 4: Simplify right side
    401.88x = 209,896.88
  5. Step 5: Solve for x
    x = 209,896.88/401.88
  6. Step 6: Final answer
    x = 522.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.