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Finding the Fourth Proportional to 457.81, 687.09 and 198.00

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Solution

The fourth proportional to 457.81, 687.09 and 198.00 is: 297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.81 : 687.09 = 198.00 : x
  2. Step 2: Convert to fraction form
    457.81/687.09 = 198.00/x
  3. Step 3: Cross multiply
    457.81x = 687.09 × 198.00
  4. Step 4: Simplify right side
    457.81x = 136,047.14
  5. Step 5: Solve for x
    x = 136,047.14/457.81
  6. Step 6: Final answer
    x = 297.17

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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.