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Finding the Fourth Proportional to 431.99, 595.96 and 301.07

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Solution

The fourth proportional to 431.99, 595.96 and 301.07 is: 415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.99 : 595.96 = 301.07 : x
  2. Step 2: Convert to fraction form
    431.99/595.96 = 301.07/x
  3. Step 3: Cross multiply
    431.99x = 595.96 × 301.07
  4. Step 4: Simplify right side
    431.99x = 179,426.41
  5. Step 5: Solve for x
    x = 179,426.41/431.99
  6. Step 6: Final answer
    x = 415.35

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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.