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Finding the Fourth Proportional to 466.97, 643.02 and 368.42

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Solution

The fourth proportional to 466.97, 643.02 and 368.42 is: 507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.97 : 643.02 = 368.42 : x
  2. Step 2: Convert to fraction form
    466.97/643.02 = 368.42/x
  3. Step 3: Cross multiply
    466.97x = 643.02 × 368.42
  4. Step 4: Simplify right side
    466.97x = 236,901.43
  5. Step 5: Solve for x
    x = 236,901.43/466.97
  6. Step 6: Final answer
    x = 507.32

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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.