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Finding the Fourth Proportional to 412.26, 615.96 and 307.74

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Solution

The fourth proportional to 412.26, 615.96 and 307.74 is: 459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.26 : 615.96 = 307.74 : x
  2. Step 2: Convert to fraction form
    412.26/615.96 = 307.74/x
  3. Step 3: Cross multiply
    412.26x = 615.96 × 307.74
  4. Step 4: Simplify right side
    412.26x = 189,555.53
  5. Step 5: Solve for x
    x = 189,555.53/412.26
  6. Step 6: Final answer
    x = 459.80

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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.