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Finding the Fourth Proportional to 456.47, 629.95 and 299.10

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Solution

The fourth proportional to 456.47, 629.95 and 299.10 is: 412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.47 : 629.95 = 299.10 : x
  2. Step 2: Convert to fraction form
    456.47/629.95 = 299.10/x
  3. Step 3: Cross multiply
    456.47x = 629.95 × 299.10
  4. Step 4: Simplify right side
    456.47x = 188,416.55
  5. Step 5: Solve for x
    x = 188,416.55/456.47
  6. Step 6: Final answer
    x = 412.77

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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.