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Finding the Fourth Proportional to 389.21, 583.95 and 183.94

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Solution

The fourth proportional to 389.21, 583.95 and 183.94 is: 275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.21 : 583.95 = 183.94 : x
  2. Step 2: Convert to fraction form
    389.21/583.95 = 183.94/x
  3. Step 3: Cross multiply
    389.21x = 583.95 × 183.94
  4. Step 4: Simplify right side
    389.21x = 107,411.76
  5. Step 5: Solve for x
    x = 107,411.76/389.21
  6. Step 6: Final answer
    x = 275.97

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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.