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Finding the Fourth Proportional to 380.70, 569.64 and 298.68

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Solution

The fourth proportional to 380.70, 569.64 and 298.68 is: 446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.70 : 569.64 = 298.68 : x
  2. Step 2: Convert to fraction form
    380.70/569.64 = 298.68/x
  3. Step 3: Cross multiply
    380.70x = 569.64 × 298.68
  4. Step 4: Simplify right side
    380.70x = 170,140.08
  5. Step 5: Solve for x
    x = 170,140.08/380.70
  6. Step 6: Final answer
    x = 446.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.