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Finding the Fourth Proportional to 345.22, 476.81 and 251.81

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Solution

The fourth proportional to 345.22, 476.81 and 251.81 is: 347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.22 : 476.81 = 251.81 : x
  2. Step 2: Convert to fraction form
    345.22/476.81 = 251.81/x
  3. Step 3: Cross multiply
    345.22x = 476.81 × 251.81
  4. Step 4: Simplify right side
    345.22x = 120,065.53
  5. Step 5: Solve for x
    x = 120,065.53/345.22
  6. Step 6: Final answer
    x = 347.79

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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.