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Finding the Fourth Proportional to 338.58, 505.17 and 307.80

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Solution

The fourth proportional to 338.58, 505.17 and 307.80 is: 459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.58 : 505.17 = 307.80 : x
  2. Step 2: Convert to fraction form
    338.58/505.17 = 307.80/x
  3. Step 3: Cross multiply
    338.58x = 505.17 × 307.80
  4. Step 4: Simplify right side
    338.58x = 155,491.33
  5. Step 5: Solve for x
    x = 155,491.33/338.58
  6. Step 6: Final answer
    x = 459.25

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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.