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Finding the Fourth Proportional to 492.47, 679.09 and 367.93

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Solution

The fourth proportional to 492.47, 679.09 and 367.93 is: 507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.47 : 679.09 = 367.93 : x
  2. Step 2: Convert to fraction form
    492.47/679.09 = 367.93/x
  3. Step 3: Cross multiply
    492.47x = 679.09 × 367.93
  4. Step 4: Simplify right side
    492.47x = 249,855.74
  5. Step 5: Solve for x
    x = 249,855.74/492.47
  6. Step 6: Final answer
    x = 507.36

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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.