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Finding the Fourth Proportional to 492.77, 679.56 and 368.30

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Solution

The fourth proportional to 492.77, 679.56 and 368.30 is: 507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.77 : 679.56 = 368.30 : x
  2. Step 2: Convert to fraction form
    492.77/679.56 = 368.30/x
  3. Step 3: Cross multiply
    492.77x = 679.56 × 368.30
  4. Step 4: Simplify right side
    492.77x = 250,282.27
  5. Step 5: Solve for x
    x = 250,282.27/492.77
  6. Step 6: Final answer
    x = 507.91

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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.