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Finding the Fourth Proportional to 384.85, 576.21 and 317.19

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Solution

The fourth proportional to 384.85, 576.21 and 317.19 is: 474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.85 : 576.21 = 317.19 : x
  2. Step 2: Convert to fraction form
    384.85/576.21 = 317.19/x
  3. Step 3: Cross multiply
    384.85x = 576.21 × 317.19
  4. Step 4: Simplify right side
    384.85x = 182,768.05
  5. Step 5: Solve for x
    x = 182,768.05/384.85
  6. Step 6: Final answer
    x = 474.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.