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Finding the Fourth Proportional to 432.90, 648.32 and 256.73

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Solution

The fourth proportional to 432.90, 648.32 and 256.73 is: 384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.90 : 648.32 = 256.73 : x
  2. Step 2: Convert to fraction form
    432.90/648.32 = 256.73/x
  3. Step 3: Cross multiply
    432.90x = 648.32 × 256.73
  4. Step 4: Simplify right side
    432.90x = 166,438.67
  5. Step 5: Solve for x
    x = 166,438.67/432.90
  6. Step 6: Final answer
    x = 384.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.