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Finding the Fourth Proportional to 466.86, 644.40 and 289.92

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Solution

The fourth proportional to 466.86, 644.40 and 289.92 is: 400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.86 : 644.40 = 289.92 : x
  2. Step 2: Convert to fraction form
    466.86/644.40 = 289.92/x
  3. Step 3: Cross multiply
    466.86x = 644.40 × 289.92
  4. Step 4: Simplify right side
    466.86x = 186,824.45
  5. Step 5: Solve for x
    x = 186,824.45/466.86
  6. Step 6: Final answer
    x = 400.17

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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.