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Finding the Fourth Proportional to 389.61, 584.08 and 146.00

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Solution

The fourth proportional to 389.61, 584.08 and 146.00 is: 218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.61 : 584.08 = 146.00 : x
  2. Step 2: Convert to fraction form
    389.61/584.08 = 146.00/x
  3. Step 3: Cross multiply
    389.61x = 584.08 × 146.00
  4. Step 4: Simplify right side
    389.61x = 85,276.78
  5. Step 5: Solve for x
    x = 85,276.78/389.61
  6. Step 6: Final answer
    x = 218.88

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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.