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Finding the Fourth Proportional to 466.03, 643.17 and 289.03

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Solution

The fourth proportional to 466.03, 643.17 and 289.03 is: 398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.03 : 643.17 = 289.03 : x
  2. Step 2: Convert to fraction form
    466.03/643.17 = 289.03/x
  3. Step 3: Cross multiply
    466.03x = 643.17 × 289.03
  4. Step 4: Simplify right side
    466.03x = 185,895.43
  5. Step 5: Solve for x
    x = 185,895.43/466.03
  6. Step 6: Final answer
    x = 398.89

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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.