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Finding the Fourth Proportional to 491.40, 738.45 and 355.19

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Solution

The fourth proportional to 491.40, 738.45 and 355.19 is: 533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.40 : 738.45 = 355.19 : x
  2. Step 2: Convert to fraction form
    491.40/738.45 = 355.19/x
  3. Step 3: Cross multiply
    491.40x = 738.45 × 355.19
  4. Step 4: Simplify right side
    491.40x = 262,286.36
  5. Step 5: Solve for x
    x = 262,286.36/491.40
  6. Step 6: Final answer
    x = 533.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.