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Finding the Fourth Proportional to 491.22, 678.06 and 316.50

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Solution

The fourth proportional to 491.22, 678.06 and 316.50 is: 436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.22 : 678.06 = 316.50 : x
  2. Step 2: Convert to fraction form
    491.22/678.06 = 316.50/x
  3. Step 3: Cross multiply
    491.22x = 678.06 × 316.50
  4. Step 4: Simplify right side
    491.22x = 214,605.99
  5. Step 5: Solve for x
    x = 214,605.99/491.22
  6. Step 6: Final answer
    x = 436.88

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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.