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Finding the Fourth Proportional to 623.32, 935.12 and 190.47

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Solution

The fourth proportional to 623.32, 935.12 and 190.47 is: 285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.32 : 935.12 = 190.47 : x
  2. Step 2: Convert to fraction form
    623.32/935.12 = 190.47/x
  3. Step 3: Cross multiply
    623.32x = 935.12 × 190.47
  4. Step 4: Simplify right side
    623.32x = 178,112.31
  5. Step 5: Solve for x
    x = 178,112.31/623.32
  6. Step 6: Final answer
    x = 285.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.