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Finding the Fourth Proportional to 418.32, 576.36 and 365.46

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Solution

The fourth proportional to 418.32, 576.36 and 365.46 is: 503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.32 : 576.36 = 365.46 : x
  2. Step 2: Convert to fraction form
    418.32/576.36 = 365.46/x
  3. Step 3: Cross multiply
    418.32x = 576.36 × 365.46
  4. Step 4: Simplify right side
    418.32x = 210,636.53
  5. Step 5: Solve for x
    x = 210,636.53/418.32
  6. Step 6: Final answer
    x = 503.53

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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.