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Finding the Fourth Proportional to 401.23, 554.09 and 277.21

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Solution

The fourth proportional to 401.23, 554.09 and 277.21 is: 382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.23 : 554.09 = 277.21 : x
  2. Step 2: Convert to fraction form
    401.23/554.09 = 277.21/x
  3. Step 3: Cross multiply
    401.23x = 554.09 × 277.21
  4. Step 4: Simplify right side
    401.23x = 153,599.29
  5. Step 5: Solve for x
    x = 153,599.29/401.23
  6. Step 6: Final answer
    x = 382.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.