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Finding the Fourth Proportional to 295.30, 440.77 and 277.06

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Solution

The fourth proportional to 295.30, 440.77 and 277.06 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.30 : 440.77 = 277.06 : x
  2. Step 2: Convert to fraction form
    295.30/440.77 = 277.06/x
  3. Step 3: Cross multiply
    295.30x = 440.77 × 277.06
  4. Step 4: Simplify right side
    295.30x = 122,118.35
  5. Step 5: Solve for x
    x = 122,118.35/295.30
  6. Step 6: Final answer
    x = 413.54

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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.