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Finding the Fourth Proportional to 431.76, 594.90 and 321.12

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Solution

The fourth proportional to 431.76, 594.90 and 321.12 is: 442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.76 : 594.90 = 321.12 : x
  2. Step 2: Convert to fraction form
    431.76/594.90 = 321.12/x
  3. Step 3: Cross multiply
    431.76x = 594.90 × 321.12
  4. Step 4: Simplify right side
    431.76x = 191,034.29
  5. Step 5: Solve for x
    x = 191,034.29/431.76
  6. Step 6: Final answer
    x = 442.45

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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.