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Finding the Fourth Proportional to 623.32, 935.07 and 212.50

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Solution

The fourth proportional to 623.32, 935.07 and 212.50 is: 318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.32 : 935.07 = 212.50 : x
  2. Step 2: Convert to fraction form
    623.32/935.07 = 212.50/x
  3. Step 3: Cross multiply
    623.32x = 935.07 × 212.50
  4. Step 4: Simplify right side
    623.32x = 198,702.38
  5. Step 5: Solve for x
    x = 198,702.38/623.32
  6. Step 6: Final answer
    x = 318.78

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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.