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Finding the Fourth Proportional to 466.08, 643.32 and 319.08

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Solution

The fourth proportional to 466.08, 643.32 and 319.08 is: 440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.08 : 643.32 = 319.08 : x
  2. Step 2: Convert to fraction form
    466.08/643.32 = 319.08/x
  3. Step 3: Cross multiply
    466.08x = 643.32 × 319.08
  4. Step 4: Simplify right side
    466.08x = 205,270.55
  5. Step 5: Solve for x
    x = 205,270.55/466.08
  6. Step 6: Final answer
    x = 440.42

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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.