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Finding the Fourth Proportional to 431.22, 595.44 and 291.63

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Solution

The fourth proportional to 431.22, 595.44 and 291.63 is: 402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.22 : 595.44 = 291.63 : x
  2. Step 2: Convert to fraction form
    431.22/595.44 = 291.63/x
  3. Step 3: Cross multiply
    431.22x = 595.44 × 291.63
  4. Step 4: Simplify right side
    431.22x = 173,648.17
  5. Step 5: Solve for x
    x = 173,648.17/431.22
  6. Step 6: Final answer
    x = 402.69

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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.