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Finding the Fourth Proportional to 364.41, 503.37 and 312.48

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Solution

The fourth proportional to 364.41, 503.37 and 312.48 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.41 : 503.37 = 312.48 : x
  2. Step 2: Convert to fraction form
    364.41/503.37 = 312.48/x
  3. Step 3: Cross multiply
    364.41x = 503.37 × 312.48
  4. Step 4: Simplify right side
    364.41x = 157,293.06
  5. Step 5: Solve for x
    x = 157,293.06/364.41
  6. Step 6: Final answer
    x = 431.64

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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.