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Finding the Fourth Proportional to 491.93, 678.78 and 282.18

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Solution

The fourth proportional to 491.93, 678.78 and 282.18 is: 389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.93 : 678.78 = 282.18 : x
  2. Step 2: Convert to fraction form
    491.93/678.78 = 282.18/x
  3. Step 3: Cross multiply
    491.93x = 678.78 × 282.18
  4. Step 4: Simplify right side
    491.93x = 191,538.14
  5. Step 5: Solve for x
    x = 191,538.14/491.93
  6. Step 6: Final answer
    x = 389.36

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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.