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Finding the Fourth Proportional to 294.12, 438.12 and 277.56

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Solution

The fourth proportional to 294.12, 438.12 and 277.56 is: 413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.12 : 438.12 = 277.56 : x
  2. Step 2: Convert to fraction form
    294.12/438.12 = 277.56/x
  3. Step 3: Cross multiply
    294.12x = 438.12 × 277.56
  4. Step 4: Simplify right side
    294.12x = 121,604.59
  5. Step 5: Solve for x
    x = 121,604.59/294.12
  6. Step 6: Final answer
    x = 413.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.