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Finding the Fourth Proportional to 344.31, 474.30 and 289.02

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Solution

The fourth proportional to 344.31, 474.30 and 289.02 is: 398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.31 : 474.30 = 289.02 : x
  2. Step 2: Convert to fraction form
    344.31/474.30 = 289.02/x
  3. Step 3: Cross multiply
    344.31x = 474.30 × 289.02
  4. Step 4: Simplify right side
    344.31x = 137,082.19
  5. Step 5: Solve for x
    x = 137,082.19/344.31
  6. Step 6: Final answer
    x = 398.14

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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.