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Finding the Fourth Proportional to 389.61, 584.73 and 184.08

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Solution

The fourth proportional to 389.61, 584.73 and 184.08 is: 276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.61 : 584.73 = 184.08 : x
  2. Step 2: Convert to fraction form
    389.61/584.73 = 184.08/x
  3. Step 3: Cross multiply
    389.61x = 584.73 × 184.08
  4. Step 4: Simplify right side
    389.61x = 107,637.10
  5. Step 5: Solve for x
    x = 107,637.10/389.61
  6. Step 6: Final answer
    x = 276.27

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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.