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Finding the Fourth Proportional to 295.14, 405.37 and 277.07

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Solution

The fourth proportional to 295.14, 405.37 and 277.07 is: 380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.14 : 405.37 = 277.07 : x
  2. Step 2: Convert to fraction form
    295.14/405.37 = 277.07/x
  3. Step 3: Cross multiply
    295.14x = 405.37 × 277.07
  4. Step 4: Simplify right side
    295.14x = 112,315.87
  5. Step 5: Solve for x
    x = 112,315.87/295.14
  6. Step 6: Final answer
    x = 380.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.