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Finding the Fourth Proportional to 380.08, 567.76 and 318.57

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Solution

The fourth proportional to 380.08, 567.76 and 318.57 is: 475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 567.76 = 318.57 : x
  2. Step 2: Convert to fraction form
    380.08/567.76 = 318.57/x
  3. Step 3: Cross multiply
    380.08x = 567.76 × 318.57
  4. Step 4: Simplify right side
    380.08x = 180,871.30
  5. Step 5: Solve for x
    x = 180,871.30/380.08
  6. Step 6: Final answer
    x = 475.88

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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.