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Finding the Fourth Proportional to 385.48, 530 and 329.96

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Solution

The fourth proportional to 385.48, 530 and 329.96 is: 453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.48 : 530 = 329.96 : x
  2. Step 2: Convert to fraction form
    385.48/530 = 329.96/x
  3. Step 3: Cross multiply
    385.48x = 530 × 329.96
  4. Step 4: Simplify right side
    385.48x = 174,878.80
  5. Step 5: Solve for x
    x = 174,878.80/385.48
  6. Step 6: Final answer
    x = 453.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.