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Finding the Fourth Proportional to 401.23, 554.10 and 331.52

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Solution

The fourth proportional to 401.23, 554.10 and 331.52 is: 457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.23 : 554.10 = 331.52 : x
  2. Step 2: Convert to fraction form
    401.23/554.10 = 331.52/x
  3. Step 3: Cross multiply
    401.23x = 554.10 × 331.52
  4. Step 4: Simplify right side
    401.23x = 183,695.23
  5. Step 5: Solve for x
    x = 183,695.23/401.23
  6. Step 6: Final answer
    x = 457.84

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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.