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Finding the Fourth Proportional to 446.52, 615.56 and 298.84

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Solution

The fourth proportional to 446.52, 615.56 and 298.84 is: 411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.52 : 615.56 = 298.84 : x
  2. Step 2: Convert to fraction form
    446.52/615.56 = 298.84/x
  3. Step 3: Cross multiply
    446.52x = 615.56 × 298.84
  4. Step 4: Simplify right side
    446.52x = 183,953.95
  5. Step 5: Solve for x
    x = 183,953.95/446.52
  6. Step 6: Final answer
    x = 411.97

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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.