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Finding the Fourth Proportional to 309.81, 465.25 and 275.18

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Solution

The fourth proportional to 309.81, 465.25 and 275.18 is: 413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.81 : 465.25 = 275.18 : x
  2. Step 2: Convert to fraction form
    309.81/465.25 = 275.18/x
  3. Step 3: Cross multiply
    309.81x = 465.25 × 275.18
  4. Step 4: Simplify right side
    309.81x = 128,027.50
  5. Step 5: Solve for x
    x = 128,027.50/309.81
  6. Step 6: Final answer
    x = 413.25

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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.