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Finding the Fourth Proportional to 401.63, 553.48 and 277.06

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Solution

The fourth proportional to 401.63, 553.48 and 277.06 is: 381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.63 : 553.48 = 277.06 : x
  2. Step 2: Convert to fraction form
    401.63/553.48 = 277.06/x
  3. Step 3: Cross multiply
    401.63x = 553.48 × 277.06
  4. Step 4: Simplify right side
    401.63x = 153,347.17
  5. Step 5: Solve for x
    x = 153,347.17/401.63
  6. Step 6: Final answer
    x = 381.81

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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.