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Finding the Fourth Proportional to 431.82, 596.01 and 257.27

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Solution

The fourth proportional to 431.82, 596.01 and 257.27 is: 355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.82 : 596.01 = 257.27 : x
  2. Step 2: Convert to fraction form
    431.82/596.01 = 257.27/x
  3. Step 3: Cross multiply
    431.82x = 596.01 × 257.27
  4. Step 4: Simplify right side
    431.82x = 153,332.51
  5. Step 5: Solve for x
    x = 153,332.51/431.82
  6. Step 6: Final answer
    x = 355.08

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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.