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Finding the Fourth Proportional to 491.94, 678.93 and 282.19

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Solution

The fourth proportional to 491.94, 678.93 and 282.19 is: 389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.94 : 678.93 = 282.19 : x
  2. Step 2: Convert to fraction form
    491.94/678.93 = 282.19/x
  3. Step 3: Cross multiply
    491.94x = 678.93 × 282.19
  4. Step 4: Simplify right side
    491.94x = 191,587.26
  5. Step 5: Solve for x
    x = 191,587.26/491.94
  6. Step 6: Final answer
    x = 389.45

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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.