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Finding the Fourth Proportional to 304.99, 457.81 and 142.83

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Solution

The fourth proportional to 304.99, 457.81 and 142.83 is: 214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.99 : 457.81 = 142.83 : x
  2. Step 2: Convert to fraction form
    304.99/457.81 = 142.83/x
  3. Step 3: Cross multiply
    304.99x = 457.81 × 142.83
  4. Step 4: Simplify right side
    304.99x = 65,389.00
  5. Step 5: Solve for x
    x = 65,389.00/304.99
  6. Step 6: Final answer
    x = 214.40

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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.