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Finding the Fourth Proportional to 431.70, 594.59 and 320.99

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Solution

The fourth proportional to 431.70, 594.59 and 320.99 is: 442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.70 : 594.59 = 320.99 : x
  2. Step 2: Convert to fraction form
    431.70/594.59 = 320.99/x
  3. Step 3: Cross multiply
    431.70x = 594.59 × 320.99
  4. Step 4: Simplify right side
    431.70x = 190,856.34
  5. Step 5: Solve for x
    x = 190,856.34/431.70
  6. Step 6: Final answer
    x = 442.10

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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.