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Finding the Fourth Proportional to 258.30, 386.64 and 184.95

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Solution

The fourth proportional to 258.30, 386.64 and 184.95 is: 276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.30 : 386.64 = 184.95 : x
  2. Step 2: Convert to fraction form
    258.30/386.64 = 184.95/x
  3. Step 3: Cross multiply
    258.30x = 386.64 × 184.95
  4. Step 4: Simplify right side
    258.30x = 71,509.07
  5. Step 5: Solve for x
    x = 71,509.07/258.30
  6. Step 6: Final answer
    x = 276.85

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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.