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Finding the Fourth Proportional to 258.24, 386.64 and 185.76

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Solution

The fourth proportional to 258.24, 386.64 and 185.76 is: 278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.24 : 386.64 = 185.76 : x
  2. Step 2: Convert to fraction form
    258.24/386.64 = 185.76/x
  3. Step 3: Cross multiply
    258.24x = 386.64 × 185.76
  4. Step 4: Simplify right side
    258.24x = 71,822.25
  5. Step 5: Solve for x
    x = 71,822.25/258.24
  6. Step 6: Final answer
    x = 278.12

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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.