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Finding the Fourth Proportional to 389.32, 583.84 and 132.76

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Solution

The fourth proportional to 389.32, 583.84 and 132.76 is: 199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.32 : 583.84 = 132.76 : x
  2. Step 2: Convert to fraction form
    389.32/583.84 = 132.76/x
  3. Step 3: Cross multiply
    389.32x = 583.84 × 132.76
  4. Step 4: Simplify right side
    389.32x = 77,510.60
  5. Step 5: Solve for x
    x = 77,510.60/389.32
  6. Step 6: Final answer
    x = 199.09

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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.