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Finding the Fourth Proportional to 401.41, 554.21 and 284.77

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Solution

The fourth proportional to 401.41, 554.21 and 284.77 is: 393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.41 : 554.21 = 284.77 : x
  2. Step 2: Convert to fraction form
    401.41/554.21 = 284.77/x
  3. Step 3: Cross multiply
    401.41x = 554.21 × 284.77
  4. Step 4: Simplify right side
    401.41x = 157,822.38
  5. Step 5: Solve for x
    x = 157,822.38/401.41
  6. Step 6: Final answer
    x = 393.17

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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.