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Finding the Fourth Proportional to 385.26, 574.68 and 341.52

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Solution

The fourth proportional to 385.26, 574.68 and 341.52 is: 509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.26 : 574.68 = 341.52 : x
  2. Step 2: Convert to fraction form
    385.26/574.68 = 341.52/x
  3. Step 3: Cross multiply
    385.26x = 574.68 × 341.52
  4. Step 4: Simplify right side
    385.26x = 196,264.71
  5. Step 5: Solve for x
    x = 196,264.71/385.26
  6. Step 6: Final answer
    x = 509.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.