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Finding the Fourth Proportional to 344.31, 475.11 and 307.32

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Solution

The fourth proportional to 344.31, 475.11 and 307.32 is: 424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.31 : 475.11 = 307.32 : x
  2. Step 2: Convert to fraction form
    344.31/475.11 = 307.32/x
  3. Step 3: Cross multiply
    344.31x = 475.11 × 307.32
  4. Step 4: Simplify right side
    344.31x = 146,010.81
  5. Step 5: Solve for x
    x = 146,010.81/344.31
  6. Step 6: Final answer
    x = 424.07

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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.