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Finding the Fourth Proportional to 312.22, 466.63 and 287.59

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Solution

The fourth proportional to 312.22, 466.63 and 287.59 is: 429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.22 : 466.63 = 287.59 : x
  2. Step 2: Convert to fraction form
    312.22/466.63 = 287.59/x
  3. Step 3: Cross multiply
    312.22x = 466.63 × 287.59
  4. Step 4: Simplify right side
    312.22x = 134,198.12
  5. Step 5: Solve for x
    x = 134,198.12/312.22
  6. Step 6: Final answer
    x = 429.82

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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.