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Finding the Fourth Proportional to 466.74, 643.99 and 264.86

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Solution

The fourth proportional to 466.74, 643.99 and 264.86 is: 365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.74 : 643.99 = 264.86 : x
  2. Step 2: Convert to fraction form
    466.74/643.99 = 264.86/x
  3. Step 3: Cross multiply
    466.74x = 643.99 × 264.86
  4. Step 4: Simplify right side
    466.74x = 170,567.19
  5. Step 5: Solve for x
    x = 170,567.19/466.74
  6. Step 6: Final answer
    x = 365.44

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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.