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Finding the Fourth Proportional to 347.77, 480.36 and 306.46

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Solution

The fourth proportional to 347.77, 480.36 and 306.46 is: 423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.77 : 480.36 = 306.46 : x
  2. Step 2: Convert to fraction form
    347.77/480.36 = 306.46/x
  3. Step 3: Cross multiply
    347.77x = 480.36 × 306.46
  4. Step 4: Simplify right side
    347.77x = 147,211.13
  5. Step 5: Solve for x
    x = 147,211.13/347.77
  6. Step 6: Final answer
    x = 423.30

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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.