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Finding the Fourth Proportional to 456.08, 629.40 and 264.48

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Solution

The fourth proportional to 456.08, 629.40 and 264.48 is: 364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.08 : 629.40 = 264.48 : x
  2. Step 2: Convert to fraction form
    456.08/629.40 = 264.48/x
  3. Step 3: Cross multiply
    456.08x = 629.40 × 264.48
  4. Step 4: Simplify right side
    456.08x = 166,465.49
  5. Step 5: Solve for x
    x = 166,465.49/456.08
  6. Step 6: Final answer
    x = 364.99

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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.