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Finding the Fourth Proportional to 342.16, 471.36 and 321.28

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Solution

The fourth proportional to 342.16, 471.36 and 321.28 is: 442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.16 : 471.36 = 321.28 : x
  2. Step 2: Convert to fraction form
    342.16/471.36 = 321.28/x
  3. Step 3: Cross multiply
    342.16x = 471.36 × 321.28
  4. Step 4: Simplify right side
    342.16x = 151,438.54
  5. Step 5: Solve for x
    x = 151,438.54/342.16
  6. Step 6: Final answer
    x = 442.60

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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.