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Finding the Fourth Proportional to 432.69, 648.95 and 257.06

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Solution

The fourth proportional to 432.69, 648.95 and 257.06 is: 385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.69 : 648.95 = 257.06 : x
  2. Step 2: Convert to fraction form
    432.69/648.95 = 257.06/x
  3. Step 3: Cross multiply
    432.69x = 648.95 × 257.06
  4. Step 4: Simplify right side
    432.69x = 166,817.80
  5. Step 5: Solve for x
    x = 166,817.80/432.69
  6. Step 6: Final answer
    x = 385.54

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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.