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Finding the Fourth Proportional to 415.56, 623.60 and 233.06

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Solution

The fourth proportional to 415.56, 623.60 and 233.06 is: 349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.56 : 623.60 = 233.06 : x
  2. Step 2: Convert to fraction form
    415.56/623.60 = 233.06/x
  3. Step 3: Cross multiply
    415.56x = 623.60 × 233.06
  4. Step 4: Simplify right side
    415.56x = 145,336.22
  5. Step 5: Solve for x
    x = 145,336.22/415.56
  6. Step 6: Final answer
    x = 349.74

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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.