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Finding the Fourth Proportional to 468.31, 646.16 and 271.82

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Solution

The fourth proportional to 468.31, 646.16 and 271.82 is: 375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.31 : 646.16 = 271.82 : x
  2. Step 2: Convert to fraction form
    468.31/646.16 = 271.82/x
  3. Step 3: Cross multiply
    468.31x = 646.16 × 271.82
  4. Step 4: Simplify right side
    468.31x = 175,639.21
  5. Step 5: Solve for x
    x = 175,639.21/468.31
  6. Step 6: Final answer
    x = 375.05

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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.