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Finding the Fourth Proportional to 491.40, 677.97 and 352.08

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Solution

The fourth proportional to 491.40, 677.97 and 352.08 is: 485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.40 : 677.97 = 352.08 : x
  2. Step 2: Convert to fraction form
    491.40/677.97 = 352.08/x
  3. Step 3: Cross multiply
    491.40x = 677.97 × 352.08
  4. Step 4: Simplify right side
    491.40x = 238,699.68
  5. Step 5: Solve for x
    x = 238,699.68/491.40
  6. Step 6: Final answer
    x = 485.75

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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.