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Finding the Fourth Proportional to 305.64, 420.88 and 298.83

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Solution

The fourth proportional to 305.64, 420.88 and 298.83 is: 411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 420.88 = 298.83 : x
  2. Step 2: Convert to fraction form
    305.64/420.88 = 298.83/x
  3. Step 3: Cross multiply
    305.64x = 420.88 × 298.83
  4. Step 4: Simplify right side
    305.64x = 125,772.62
  5. Step 5: Solve for x
    x = 125,772.62/305.64
  6. Step 6: Final answer
    x = 411.50

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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.