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Finding the Fourth Proportional to 457.02, 630.21 and 299.46

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Solution

The fourth proportional to 457.02, 630.21 and 299.46 is: 412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.02 : 630.21 = 299.46 : x
  2. Step 2: Convert to fraction form
    457.02/630.21 = 299.46/x
  3. Step 3: Cross multiply
    457.02x = 630.21 × 299.46
  4. Step 4: Simplify right side
    457.02x = 188,722.69
  5. Step 5: Solve for x
    x = 188,722.69/457.02
  6. Step 6: Final answer
    x = 412.94

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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.