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Finding the Fourth Proportional to 385.76, 581.08 and 380.72

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Solution

The fourth proportional to 385.76, 581.08 and 380.72 is: 573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.76 : 581.08 = 380.72 : x
  2. Step 2: Convert to fraction form
    385.76/581.08 = 380.72/x
  3. Step 3: Cross multiply
    385.76x = 581.08 × 380.72
  4. Step 4: Simplify right side
    385.76x = 221,228.78
  5. Step 5: Solve for x
    x = 221,228.78/385.76
  6. Step 6: Final answer
    x = 573.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.