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Finding the Fourth Proportional to 492.66, 680.16 and 315.72

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Solution

The fourth proportional to 492.66, 680.16 and 315.72 is: 435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.66 : 680.16 = 315.72 : x
  2. Step 2: Convert to fraction form
    492.66/680.16 = 315.72/x
  3. Step 3: Cross multiply
    492.66x = 680.16 × 315.72
  4. Step 4: Simplify right side
    492.66x = 214,740.12
  5. Step 5: Solve for x
    x = 214,740.12/492.66
  6. Step 6: Final answer
    x = 435.88

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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.