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Finding the Fourth Proportional to 469.28, 701.18 and 396.38

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Solution

The fourth proportional to 469.28, 701.18 and 396.38 is: 592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.28 : 701.18 = 396.38 : x
  2. Step 2: Convert to fraction form
    469.28/701.18 = 396.38/x
  3. Step 3: Cross multiply
    469.28x = 701.18 × 396.38
  4. Step 4: Simplify right side
    469.28x = 277,928.24
  5. Step 5: Solve for x
    x = 277,928.24/469.28
  6. Step 6: Final answer
    x = 592.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.