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Finding the Fourth Proportional to 305.34, 419.66 and 296.70

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Solution

The fourth proportional to 305.34, 419.66 and 296.70 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 419.66 = 296.70 : x
  2. Step 2: Convert to fraction form
    305.34/419.66 = 296.70/x
  3. Step 3: Cross multiply
    305.34x = 419.66 × 296.70
  4. Step 4: Simplify right side
    305.34x = 124,511.64
  5. Step 5: Solve for x
    x = 124,511.64/305.34
  6. Step 6: Final answer
    x = 407.78

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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.