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Finding the Fourth Proportional to 346.37, 478.20 and 241.64

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Solution

The fourth proportional to 346.37, 478.20 and 241.64 is: 333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.37 : 478.20 = 241.64 : x
  2. Step 2: Convert to fraction form
    346.37/478.20 = 241.64/x
  3. Step 3: Cross multiply
    346.37x = 478.20 × 241.64
  4. Step 4: Simplify right side
    346.37x = 115,552.25
  5. Step 5: Solve for x
    x = 115,552.25/346.37
  6. Step 6: Final answer
    x = 333.61

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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.