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Finding the Fourth Proportional to 417.81, 629.16 and 303.06

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Solution

The fourth proportional to 417.81, 629.16 and 303.06 is: 456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.81 : 629.16 = 303.06 : x
  2. Step 2: Convert to fraction form
    417.81/629.16 = 303.06/x
  3. Step 3: Cross multiply
    417.81x = 629.16 × 303.06
  4. Step 4: Simplify right side
    417.81x = 190,673.23
  5. Step 5: Solve for x
    x = 190,673.23/417.81
  6. Step 6: Final answer
    x = 456.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.