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Finding the Fourth Proportional to 385.34, 574.14 and 360.50

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Solution

The fourth proportional to 385.34, 574.14 and 360.50 is: 537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.34 : 574.14 = 360.50 : x
  2. Step 2: Convert to fraction form
    385.34/574.14 = 360.50/x
  3. Step 3: Cross multiply
    385.34x = 574.14 × 360.50
  4. Step 4: Simplify right side
    385.34x = 206,975.67
  5. Step 5: Solve for x
    x = 206,975.67/385.34
  6. Step 6: Final answer
    x = 537.12

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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.