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Finding the Fourth Proportional to 492.90, 679.68 and 368.37

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Solution

The fourth proportional to 492.90, 679.68 and 368.37 is: 507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.90 : 679.68 = 368.37 : x
  2. Step 2: Convert to fraction form
    492.90/679.68 = 368.37/x
  3. Step 3: Cross multiply
    492.90x = 679.68 × 368.37
  4. Step 4: Simplify right side
    492.90x = 250,373.72
  5. Step 5: Solve for x
    x = 250,373.72/492.90
  6. Step 6: Final answer
    x = 507.96

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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.