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Finding the Fourth Proportional to 385.34, 578.70 and 298.78

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Solution

The fourth proportional to 385.34, 578.70 and 298.78 is: 448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.34 : 578.70 = 298.78 : x
  2. Step 2: Convert to fraction form
    385.34/578.70 = 298.78/x
  3. Step 3: Cross multiply
    385.34x = 578.70 × 298.78
  4. Step 4: Simplify right side
    385.34x = 172,901.94
  5. Step 5: Solve for x
    x = 172,901.94/385.34
  6. Step 6: Final answer
    x = 448.69

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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.