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Finding the Fourth Proportional to 401.01, 553.19 and 312.33

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Solution

The fourth proportional to 401.01, 553.19 and 312.33 is: 430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.01 : 553.19 = 312.33 : x
  2. Step 2: Convert to fraction form
    401.01/553.19 = 312.33/x
  3. Step 3: Cross multiply
    401.01x = 553.19 × 312.33
  4. Step 4: Simplify right side
    401.01x = 172,777.83
  5. Step 5: Solve for x
    x = 172,777.83/401.01
  6. Step 6: Final answer
    x = 430.86

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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.