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Finding the Fourth Proportional to 345.56, 476.13 and 234.84

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Solution

The fourth proportional to 345.56, 476.13 and 234.84 is: 323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.56 : 476.13 = 234.84 : x
  2. Step 2: Convert to fraction form
    345.56/476.13 = 234.84/x
  3. Step 3: Cross multiply
    345.56x = 476.13 × 234.84
  4. Step 4: Simplify right side
    345.56x = 111,814.37
  5. Step 5: Solve for x
    x = 111,814.37/345.56
  6. Step 6: Final answer
    x = 323.57

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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.