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Finding the Fourth Proportional to 431.18, 594.96 and 357.20

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Solution

The fourth proportional to 431.18, 594.96 and 357.20 is: 492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.18 : 594.96 = 357.20 : x
  2. Step 2: Convert to fraction form
    431.18/594.96 = 357.20/x
  3. Step 3: Cross multiply
    431.18x = 594.96 × 357.20
  4. Step 4: Simplify right side
    431.18x = 212,519.71
  5. Step 5: Solve for x
    x = 212,519.71/431.18
  6. Step 6: Final answer
    x = 492.88

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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.