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Finding the Fourth Proportional to 305.48, 421.04 and 289.06

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Solution

The fourth proportional to 305.48, 421.04 and 289.06 is: 398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.48 : 421.04 = 289.06 : x
  2. Step 2: Convert to fraction form
    305.48/421.04 = 289.06/x
  3. Step 3: Cross multiply
    305.48x = 421.04 × 289.06
  4. Step 4: Simplify right side
    305.48x = 121,705.82
  5. Step 5: Solve for x
    x = 121,705.82/305.48
  6. Step 6: Final answer
    x = 398.41

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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.