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Finding the Fourth Proportional to 345.76, 477.23 and 241.07

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Solution

The fourth proportional to 345.76, 477.23 and 241.07 is: 332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.76 : 477.23 = 241.07 : x
  2. Step 2: Convert to fraction form
    345.76/477.23 = 241.07/x
  3. Step 3: Cross multiply
    345.76x = 477.23 × 241.07
  4. Step 4: Simplify right side
    345.76x = 115,042.24
  5. Step 5: Solve for x
    x = 115,042.24/345.76
  6. Step 6: Final answer
    x = 332.73

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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.