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Finding the Fourth Proportional to 401.18, 554.12 and 290.48

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Solution

The fourth proportional to 401.18, 554.12 and 290.48 is: 401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.18 : 554.12 = 290.48 : x
  2. Step 2: Convert to fraction form
    401.18/554.12 = 290.48/x
  3. Step 3: Cross multiply
    401.18x = 554.12 × 290.48
  4. Step 4: Simplify right side
    401.18x = 160,962.89
  5. Step 5: Solve for x
    x = 160,962.89/401.18
  6. Step 6: Final answer
    x = 401.22

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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.