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Finding the Fourth Proportional to 466.51, 643.80 and 267.27

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Solution

The fourth proportional to 466.51, 643.80 and 267.27 is: 368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.51 : 643.80 = 267.27 : x
  2. Step 2: Convert to fraction form
    466.51/643.80 = 267.27/x
  3. Step 3: Cross multiply
    466.51x = 643.80 × 267.27
  4. Step 4: Simplify right side
    466.51x = 172,070.94
  5. Step 5: Solve for x
    x = 172,070.94/466.51
  6. Step 6: Final answer
    x = 368.85

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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.