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Finding the Fourth Proportional to 404.30, 604.14 and 339.50

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Solution

The fourth proportional to 404.30, 604.14 and 339.50 is: 507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.30 : 604.14 = 339.50 : x
  2. Step 2: Convert to fraction form
    404.30/604.14 = 339.50/x
  3. Step 3: Cross multiply
    404.30x = 604.14 × 339.50
  4. Step 4: Simplify right side
    404.30x = 205,105.53
  5. Step 5: Solve for x
    x = 205,105.53/404.30
  6. Step 6: Final answer
    x = 507.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.