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Finding the Fourth Proportional to 389.53, 581.12 and 378.94

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Solution

The fourth proportional to 389.53, 581.12 and 378.94 is: 565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.53 : 581.12 = 378.94 : x
  2. Step 2: Convert to fraction form
    389.53/581.12 = 378.94/x
  3. Step 3: Cross multiply
    389.53x = 581.12 × 378.94
  4. Step 4: Simplify right side
    389.53x = 220,209.61
  5. Step 5: Solve for x
    x = 220,209.61/389.53
  6. Step 6: Final answer
    x = 565.32

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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.