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Finding the Fourth Proportional to 344.64, 474.63 and 285.88

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Solution

The fourth proportional to 344.64, 474.63 and 285.88 is: 393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.64 : 474.63 = 285.88 : x
  2. Step 2: Convert to fraction form
    344.64/474.63 = 285.88/x
  3. Step 3: Cross multiply
    344.64x = 474.63 × 285.88
  4. Step 4: Simplify right side
    344.64x = 135,686.75
  5. Step 5: Solve for x
    x = 135,686.75/344.64
  6. Step 6: Final answer
    x = 393.71

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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.