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Finding the Fourth Proportional to 492.71, 679.47 and 368.24

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Solution

The fourth proportional to 492.71, 679.47 and 368.24 is: 507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.71 : 679.47 = 368.24 : x
  2. Step 2: Convert to fraction form
    492.71/679.47 = 368.24/x
  3. Step 3: Cross multiply
    492.71x = 679.47 × 368.24
  4. Step 4: Simplify right side
    492.71x = 250,208.03
  5. Step 5: Solve for x
    x = 250,208.03/492.71
  6. Step 6: Final answer
    x = 507.82

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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.