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Finding the Fourth Proportional to 432, 596.64 and 257.76

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Solution

The fourth proportional to 432, 596.64 and 257.76 is: 356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    432 : 596.64 = 257.76 : x
  2. Step 2: Convert to fraction form
    432/596.64 = 257.76/x
  3. Step 3: Cross multiply
    432x = 596.64 × 257.76
  4. Step 4: Simplify right side
    432x = 153,789.93
  5. Step 5: Solve for x
    x = 153,789.93/432
  6. Step 6: Final answer
    x = 356.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.