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Finding the Fourth Proportional to 385.30, 530.58 and 326.38

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Solution

The fourth proportional to 385.30, 530.58 and 326.38 is: 449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.30 : 530.58 = 326.38 : x
  2. Step 2: Convert to fraction form
    385.30/530.58 = 326.38/x
  3. Step 3: Cross multiply
    385.30x = 530.58 × 326.38
  4. Step 4: Simplify right side
    385.30x = 173,168.05
  5. Step 5: Solve for x
    x = 173,168.05/385.30
  6. Step 6: Final answer
    x = 449.44

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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.