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Finding the Fourth Proportional to 491.13, 678.36 and 367.34

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Solution

The fourth proportional to 491.13, 678.36 and 367.34 is: 507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.13 : 678.36 = 367.34 : x
  2. Step 2: Convert to fraction form
    491.13/678.36 = 367.34/x
  3. Step 3: Cross multiply
    491.13x = 678.36 × 367.34
  4. Step 4: Simplify right side
    491.13x = 249,183.99
  5. Step 5: Solve for x
    x = 249,183.99/491.13
  6. Step 6: Final answer
    x = 507.37

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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.