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Finding the Fourth Proportional to 453.13, 678.72 and 306.08

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Solution

The fourth proportional to 453.13, 678.72 and 306.08 is: 458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.13 : 678.72 = 306.08 : x
  2. Step 2: Convert to fraction form
    453.13/678.72 = 306.08/x
  3. Step 3: Cross multiply
    453.13x = 678.72 × 306.08
  4. Step 4: Simplify right side
    453.13x = 207,739.99
  5. Step 5: Solve for x
    x = 207,739.99/453.13
  6. Step 6: Final answer
    x = 458.45

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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.