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Finding the Fourth Proportional to 277.83, 417.51 and 270.36

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Solution

The fourth proportional to 277.83, 417.51 and 270.36 is: 406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.83 : 417.51 = 270.36 : x
  2. Step 2: Convert to fraction form
    277.83/417.51 = 270.36/x
  3. Step 3: Cross multiply
    277.83x = 417.51 × 270.36
  4. Step 4: Simplify right side
    277.83x = 112,878.00
  5. Step 5: Solve for x
    x = 112,878.00/277.83
  6. Step 6: Final answer
    x = 406.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.