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Finding the Fourth Proportional to 404.60, 603.80 and 312.80

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Solution

The fourth proportional to 404.60, 603.80 and 312.80 is: 466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.60 : 603.80 = 312.80 : x
  2. Step 2: Convert to fraction form
    404.60/603.80 = 312.80/x
  3. Step 3: Cross multiply
    404.60x = 603.80 × 312.80
  4. Step 4: Simplify right side
    404.60x = 188,868.64
  5. Step 5: Solve for x
    x = 188,868.64/404.60
  6. Step 6: Final answer
    x = 466.80

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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.