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Finding the Fourth Proportional to 277.16, 412.93 and 263.39

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Solution

The fourth proportional to 277.16, 412.93 and 263.39 is: 392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.16 : 412.93 = 263.39 : x
  2. Step 2: Convert to fraction form
    277.16/412.93 = 263.39/x
  3. Step 3: Cross multiply
    277.16x = 412.93 × 263.39
  4. Step 4: Simplify right side
    277.16x = 108,759.90
  5. Step 5: Solve for x
    x = 108,759.90/277.16
  6. Step 6: Final answer
    x = 392.42

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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.