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Finding the Fourth Proportional to 431.63, 646.82 and 214.91

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Solution

The fourth proportional to 431.63, 646.82 and 214.91 is: 322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.63 : 646.82 = 214.91 : x
  2. Step 2: Convert to fraction form
    431.63/646.82 = 214.91/x
  3. Step 3: Cross multiply
    431.63x = 646.82 × 214.91
  4. Step 4: Simplify right side
    431.63x = 139,007.01
  5. Step 5: Solve for x
    x = 139,007.01/431.63
  6. Step 6: Final answer
    x = 322.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.