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Finding the Fourth Proportional to 431.89, 596.01 and 257.23

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Solution

The fourth proportional to 431.89, 596.01 and 257.23 is: 354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.89 : 596.01 = 257.23 : x
  2. Step 2: Convert to fraction form
    431.89/596.01 = 257.23/x
  3. Step 3: Cross multiply
    431.89x = 596.01 × 257.23
  4. Step 4: Simplify right side
    431.89x = 153,311.65
  5. Step 5: Solve for x
    x = 153,311.65/431.89
  6. Step 6: Final answer
    x = 354.98

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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.