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Finding the Fourth Proportional to 445.76, 615.21 and 298.40

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Solution

The fourth proportional to 445.76, 615.21 and 298.40 is: 411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.76 : 615.21 = 298.40 : x
  2. Step 2: Convert to fraction form
    445.76/615.21 = 298.40/x
  3. Step 3: Cross multiply
    445.76x = 615.21 × 298.40
  4. Step 4: Simplify right side
    445.76x = 183,574.10
  5. Step 5: Solve for x
    x = 183,574.10/445.76
  6. Step 6: Final answer
    x = 411.82

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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.