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Finding the Fourth Proportional to 492.39, 680.10 and 368.60

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Solution

The fourth proportional to 492.39, 680.10 and 368.60 is: 509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.39 : 680.10 = 368.60 : x
  2. Step 2: Convert to fraction form
    492.39/680.10 = 368.60/x
  3. Step 3: Cross multiply
    492.39x = 680.10 × 368.60
  4. Step 4: Simplify right side
    492.39x = 250,684.86
  5. Step 5: Solve for x
    x = 250,684.86/492.39
  6. Step 6: Final answer
    x = 509.12

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Why These Related Problems?

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