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Finding the Fourth Proportional to 336.18, 464.20 and 301.15

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Solution

The fourth proportional to 336.18, 464.20 and 301.15 is: 415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.18 : 464.20 = 301.15 : x
  2. Step 2: Convert to fraction form
    336.18/464.20 = 301.15/x
  3. Step 3: Cross multiply
    336.18x = 464.20 × 301.15
  4. Step 4: Simplify right side
    336.18x = 139,793.83
  5. Step 5: Solve for x
    x = 139,793.83/336.18
  6. Step 6: Final answer
    x = 415.83

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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.