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Finding the Fourth Proportional to 312.53, 467.75 and 301.59

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Solution

The fourth proportional to 312.53, 467.75 and 301.59 is: 451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.53 : 467.75 = 301.59 : x
  2. Step 2: Convert to fraction form
    312.53/467.75 = 301.59/x
  3. Step 3: Cross multiply
    312.53x = 467.75 × 301.59
  4. Step 4: Simplify right side
    312.53x = 141,069.48
  5. Step 5: Solve for x
    x = 141,069.48/312.53
  6. Step 6: Final answer
    x = 451.39

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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.