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Finding the Fourth Proportional to 431.44, 646.48 and 339.72

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Solution

The fourth proportional to 431.44, 646.48 and 339.72 is: 509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.44 : 646.48 = 339.72 : x
  2. Step 2: Convert to fraction form
    431.44/646.48 = 339.72/x
  3. Step 3: Cross multiply
    431.44x = 646.48 × 339.72
  4. Step 4: Simplify right side
    431.44x = 219,622.19
  5. Step 5: Solve for x
    x = 219,622.19/431.44
  6. Step 6: Final answer
    x = 509.04

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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.