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Finding the Fourth Proportional to 432.26, 648.40 and 278.26

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Solution

The fourth proportional to 432.26, 648.40 and 278.26 is: 417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.26 : 648.40 = 278.26 : x
  2. Step 2: Convert to fraction form
    432.26/648.40 = 278.26/x
  3. Step 3: Cross multiply
    432.26x = 648.40 × 278.26
  4. Step 4: Simplify right side
    432.26x = 180,423.78
  5. Step 5: Solve for x
    x = 180,423.78/432.26
  6. Step 6: Final answer
    x = 417.40

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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.