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Finding the Fourth Proportional to 345.24, 475.38 and 262.02

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Solution

The fourth proportional to 345.24, 475.38 and 262.02 is: 360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.24 : 475.38 = 262.02 : x
  2. Step 2: Convert to fraction form
    345.24/475.38 = 262.02/x
  3. Step 3: Cross multiply
    345.24x = 475.38 × 262.02
  4. Step 4: Simplify right side
    345.24x = 124,559.07
  5. Step 5: Solve for x
    x = 124,559.07/345.24
  6. Step 6: Final answer
    x = 360.79

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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.