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Finding the Fourth Proportional to 418.17, 629.76 and 364.71

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Solution

The fourth proportional to 418.17, 629.76 and 364.71 is: 549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.17 : 629.76 = 364.71 : x
  2. Step 2: Convert to fraction form
    418.17/629.76 = 364.71/x
  3. Step 3: Cross multiply
    418.17x = 629.76 × 364.71
  4. Step 4: Simplify right side
    418.17x = 229,679.77
  5. Step 5: Solve for x
    x = 229,679.77/418.17
  6. Step 6: Final answer
    x = 549.25

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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.