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Finding the Fourth Proportional to 339.53, 466.06 and 301.87

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Solution

The fourth proportional to 339.53, 466.06 and 301.87 is: 414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.53 : 466.06 = 301.87 : x
  2. Step 2: Convert to fraction form
    339.53/466.06 = 301.87/x
  3. Step 3: Cross multiply
    339.53x = 466.06 × 301.87
  4. Step 4: Simplify right side
    339.53x = 140,685.69
  5. Step 5: Solve for x
    x = 140,685.69/339.53
  6. Step 6: Final answer
    x = 414.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.