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Finding the Fourth Proportional to 304.58, 420.34 and 173.60

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Solution

The fourth proportional to 304.58, 420.34 and 173.60 is: 239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.58 : 420.34 = 173.60 : x
  2. Step 2: Convert to fraction form
    304.58/420.34 = 173.60/x
  3. Step 3: Cross multiply
    304.58x = 420.34 × 173.60
  4. Step 4: Simplify right side
    304.58x = 72,971.02
  5. Step 5: Solve for x
    x = 72,971.02/304.58
  6. Step 6: Final answer
    x = 239.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.