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Finding the Fourth Proportional to 273.18, 378.78 and 258.60

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Solution

The fourth proportional to 273.18, 378.78 and 258.60 is: 358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.18 : 378.78 = 258.60 : x
  2. Step 2: Convert to fraction form
    273.18/378.78 = 258.60/x
  3. Step 3: Cross multiply
    273.18x = 378.78 × 258.60
  4. Step 4: Simplify right side
    273.18x = 97,952.51
  5. Step 5: Solve for x
    x = 97,952.51/273.18
  6. Step 6: Final answer
    x = 358.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.