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Finding the Fourth Proportional to 385.19, 575.32 and 348.57

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Solution

The fourth proportional to 385.19, 575.32 and 348.57 is: 520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.19 : 575.32 = 348.57 : x
  2. Step 2: Convert to fraction form
    385.19/575.32 = 348.57/x
  3. Step 3: Cross multiply
    385.19x = 575.32 × 348.57
  4. Step 4: Simplify right side
    385.19x = 200,537.85
  5. Step 5: Solve for x
    x = 200,537.85/385.19
  6. Step 6: Final answer
    x = 520.63

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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.