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Finding the Fourth Proportional to 431.59, 596.29 and 301.18

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Solution

The fourth proportional to 431.59, 596.29 and 301.18 is: 416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.59 : 596.29 = 301.18 : x
  2. Step 2: Convert to fraction form
    431.59/596.29 = 301.18/x
  3. Step 3: Cross multiply
    431.59x = 596.29 × 301.18
  4. Step 4: Simplify right side
    431.59x = 179,587.63
  5. Step 5: Solve for x
    x = 179,587.63/431.59
  6. Step 6: Final answer
    x = 416.11

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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.