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Finding the Fourth Proportional to 401.84, 554.28 and 277.46

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Solution

The fourth proportional to 401.84, 554.28 and 277.46 is: 382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.84 : 554.28 = 277.46 : x
  2. Step 2: Convert to fraction form
    401.84/554.28 = 277.46/x
  3. Step 3: Cross multiply
    401.84x = 554.28 × 277.46
  4. Step 4: Simplify right side
    401.84x = 153,790.53
  5. Step 5: Solve for x
    x = 153,790.53/401.84
  6. Step 6: Final answer
    x = 382.72

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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.