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Finding the Fourth Proportional to 343.36, 474.88 and 306.45

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Solution

The fourth proportional to 343.36, 474.88 and 306.45 is: 423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.36 : 474.88 = 306.45 : x
  2. Step 2: Convert to fraction form
    343.36/474.88 = 306.45/x
  3. Step 3: Cross multiply
    343.36x = 474.88 × 306.45
  4. Step 4: Simplify right side
    343.36x = 145,526.98
  5. Step 5: Solve for x
    x = 145,526.98/343.36
  6. Step 6: Final answer
    x = 423.83

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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.