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Finding the Fourth Proportional to 368.76, 552.54 and 231.60

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Solution

The fourth proportional to 368.76, 552.54 and 231.60 is: 347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.76 : 552.54 = 231.60 : x
  2. Step 2: Convert to fraction form
    368.76/552.54 = 231.60/x
  3. Step 3: Cross multiply
    368.76x = 552.54 × 231.60
  4. Step 4: Simplify right side
    368.76x = 127,968.26
  5. Step 5: Solve for x
    x = 127,968.26/368.76
  6. Step 6: Final answer
    x = 347.02

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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.