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Finding the Fourth Proportional to 466.00, 643.85 and 388.24

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Solution

The fourth proportional to 466.00, 643.85 and 388.24 is: 536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.00 : 643.85 = 388.24 : x
  2. Step 2: Convert to fraction form
    466.00/643.85 = 388.24/x
  3. Step 3: Cross multiply
    466.00x = 643.85 × 388.24
  4. Step 4: Simplify right side
    466.00x = 249,967.68
  5. Step 5: Solve for x
    x = 249,967.68/466.00
  6. Step 6: Final answer
    x = 536.41

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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.