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Finding the Fourth Proportional to 466.54, 643.77 and 270.01

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Solution

The fourth proportional to 466.54, 643.77 and 270.01 is: 372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.54 : 643.77 = 270.01 : x
  2. Step 2: Convert to fraction form
    466.54/643.77 = 270.01/x
  3. Step 3: Cross multiply
    466.54x = 643.77 × 270.01
  4. Step 4: Simplify right side
    466.54x = 173,821.12
  5. Step 5: Solve for x
    x = 173,821.12/466.54
  6. Step 6: Final answer
    x = 372.58

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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.