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Finding the Fourth Proportional to 431.30, 594.56 and 332.89

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Solution

The fourth proportional to 431.30, 594.56 and 332.89 is: 458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.30 : 594.56 = 332.89 : x
  2. Step 2: Convert to fraction form
    431.30/594.56 = 332.89/x
  3. Step 3: Cross multiply
    431.30x = 594.56 × 332.89
  4. Step 4: Simplify right side
    431.30x = 197,923.08
  5. Step 5: Solve for x
    x = 197,923.08/431.30
  6. Step 6: Final answer
    x = 458.90

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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.