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Finding the Fourth Proportional to 258.30, 386.64 and 184.94

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Solution

The fourth proportional to 258.30, 386.64 and 184.94 is: 276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.30 : 386.64 = 184.94 : x
  2. Step 2: Convert to fraction form
    258.30/386.64 = 184.94/x
  3. Step 3: Cross multiply
    258.30x = 386.64 × 184.94
  4. Step 4: Simplify right side
    258.30x = 71,506.17
  5. Step 5: Solve for x
    x = 71,506.17/258.30
  6. Step 6: Final answer
    x = 276.83

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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.