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Finding the Fourth Proportional to 385.20, 530.94 and 363.24

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Solution

The fourth proportional to 385.20, 530.94 and 363.24 is: 500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 530.94 = 363.24 : x
  2. Step 2: Convert to fraction form
    385.20/530.94 = 363.24/x
  3. Step 3: Cross multiply
    385.20x = 530.94 × 363.24
  4. Step 4: Simplify right side
    385.20x = 192,858.65
  5. Step 5: Solve for x
    x = 192,858.65/385.20
  6. Step 6: Final answer
    x = 500.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.