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Finding the Fourth Proportional to 491.36, 678.96 and 351.24

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Solution

The fourth proportional to 491.36, 678.96 and 351.24 is: 485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.36 : 678.96 = 351.24 : x
  2. Step 2: Convert to fraction form
    491.36/678.96 = 351.24/x
  3. Step 3: Cross multiply
    491.36x = 678.96 × 351.24
  4. Step 4: Simplify right side
    491.36x = 238,477.91
  5. Step 5: Solve for x
    x = 238,477.91/491.36
  6. Step 6: Final answer
    x = 485.35

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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.