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Finding the Fourth Proportional to 492.50, 679.28 and 315.32

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Solution

The fourth proportional to 492.50, 679.28 and 315.32 is: 434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.50 : 679.28 = 315.32 : x
  2. Step 2: Convert to fraction form
    492.50/679.28 = 315.32/x
  3. Step 3: Cross multiply
    492.50x = 679.28 × 315.32
  4. Step 4: Simplify right side
    492.50x = 214,185.60
  5. Step 5: Solve for x
    x = 214,185.60/492.50
  6. Step 6: Final answer
    x = 434.89

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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.