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Finding the Fourth Proportional to 339.03, 466.50 and 313.92

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Solution

The fourth proportional to 339.03, 466.50 and 313.92 is: 431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.03 : 466.50 = 313.92 : x
  2. Step 2: Convert to fraction form
    339.03/466.50 = 313.92/x
  3. Step 3: Cross multiply
    339.03x = 466.50 × 313.92
  4. Step 4: Simplify right side
    339.03x = 146,443.68
  5. Step 5: Solve for x
    x = 146,443.68/339.03
  6. Step 6: Final answer
    x = 431.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.