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Finding the Fourth Proportional to 312.83, 466.39 and 304.84

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Solution

The fourth proportional to 312.83, 466.39 and 304.84 is: 454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.83 : 466.39 = 304.84 : x
  2. Step 2: Convert to fraction form
    312.83/466.39 = 304.84/x
  3. Step 3: Cross multiply
    312.83x = 466.39 × 304.84
  4. Step 4: Simplify right side
    312.83x = 142,172.02
  5. Step 5: Solve for x
    x = 142,172.02/312.83
  6. Step 6: Final answer
    x = 454.48

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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.