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Finding the Fourth Proportional to 466.22, 643.51 and 289.23

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Solution

The fourth proportional to 466.22, 643.51 and 289.23 is: 399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.22 : 643.51 = 289.23 : x
  2. Step 2: Convert to fraction form
    466.22/643.51 = 289.23/x
  3. Step 3: Cross multiply
    466.22x = 643.51 × 289.23
  4. Step 4: Simplify right side
    466.22x = 186,121.67
  5. Step 5: Solve for x
    x = 186,121.67/466.22
  6. Step 6: Final answer
    x = 399.22

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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.