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Finding the Fourth Proportional to 404.66, 607.35 and 323.30

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Solution

The fourth proportional to 404.66, 607.35 and 323.30 is: 485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.66 : 607.35 = 323.30 : x
  2. Step 2: Convert to fraction form
    404.66/607.35 = 323.30/x
  3. Step 3: Cross multiply
    404.66x = 607.35 × 323.30
  4. Step 4: Simplify right side
    404.66x = 196,356.26
  5. Step 5: Solve for x
    x = 196,356.26/404.66
  6. Step 6: Final answer
    x = 485.24

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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.