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Finding the Fourth Proportional to 338.55, 505.34 and 309.70

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Solution

The fourth proportional to 338.55, 505.34 and 309.70 is: 462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.55 : 505.34 = 309.70 : x
  2. Step 2: Convert to fraction form
    338.55/505.34 = 309.70/x
  3. Step 3: Cross multiply
    338.55x = 505.34 × 309.70
  4. Step 4: Simplify right side
    338.55x = 156,503.80
  5. Step 5: Solve for x
    x = 156,503.80/338.55
  6. Step 6: Final answer
    x = 462.28

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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.