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Finding the Fourth Proportional to 288.09, 429.57 and 277.56

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Solution

The fourth proportional to 288.09, 429.57 and 277.56 is: 413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.09 : 429.57 = 277.56 : x
  2. Step 2: Convert to fraction form
    288.09/429.57 = 277.56/x
  3. Step 3: Cross multiply
    288.09x = 429.57 × 277.56
  4. Step 4: Simplify right side
    288.09x = 119,231.45
  5. Step 5: Solve for x
    x = 119,231.45/288.09
  6. Step 6: Final answer
    x = 413.87

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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.