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Finding the Fourth Proportional to 345.06, 475.61 and 274.79

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Solution

The fourth proportional to 345.06, 475.61 and 274.79 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.06 : 475.61 = 274.79 : x
  2. Step 2: Convert to fraction form
    345.06/475.61 = 274.79/x
  3. Step 3: Cross multiply
    345.06x = 475.61 × 274.79
  4. Step 4: Simplify right side
    345.06x = 130,692.87
  5. Step 5: Solve for x
    x = 130,692.87/345.06
  6. Step 6: Final answer
    x = 378.75

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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.