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Finding the Fourth Proportional to 270.95, 405.81 and 258.19

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Solution

The fourth proportional to 270.95, 405.81 and 258.19 is: 386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.95 : 405.81 = 258.19 : x
  2. Step 2: Convert to fraction form
    270.95/405.81 = 258.19/x
  3. Step 3: Cross multiply
    270.95x = 405.81 × 258.19
  4. Step 4: Simplify right side
    270.95x = 104,775.07
  5. Step 5: Solve for x
    x = 104,775.07/270.95
  6. Step 6: Final answer
    x = 386.70

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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.