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Finding the Fourth Proportional to 456.60, 682.30 and 368.96

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Solution

The fourth proportional to 456.60, 682.30 and 368.96 is: 551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.60 : 682.30 = 368.96 : x
  2. Step 2: Convert to fraction form
    456.60/682.30 = 368.96/x
  3. Step 3: Cross multiply
    456.60x = 682.30 × 368.96
  4. Step 4: Simplify right side
    456.60x = 251,741.41
  5. Step 5: Solve for x
    x = 251,741.41/456.60
  6. Step 6: Final answer
    x = 551.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.