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Finding the Fourth Proportional to 431.01, 646.56 and 208.53

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Solution

The fourth proportional to 431.01, 646.56 and 208.53 is: 312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.01 : 646.56 = 208.53 : x
  2. Step 2: Convert to fraction form
    431.01/646.56 = 208.53/x
  3. Step 3: Cross multiply
    431.01x = 646.56 × 208.53
  4. Step 4: Simplify right side
    431.01x = 134,827.16
  5. Step 5: Solve for x
    x = 134,827.16/431.01
  6. Step 6: Final answer
    x = 312.82

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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.