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Finding the Fourth Proportional to 389.62, 583.98 and 146

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Solution

The fourth proportional to 389.62, 583.98 and 146 is: 218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.62 : 583.98 = 146 : x
  2. Step 2: Convert to fraction form
    389.62/583.98 = 146/x
  3. Step 3: Cross multiply
    389.62x = 583.98 × 146
  4. Step 4: Simplify right side
    389.62x = 85,261.08
  5. Step 5: Solve for x
    x = 85,261.08/389.62
  6. Step 6: Final answer
    x = 218.83

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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.