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Finding the Fourth Proportional to 465.34, 642.13 and 278.80

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Solution

The fourth proportional to 465.34, 642.13 and 278.80 is: 384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.34 : 642.13 = 278.80 : x
  2. Step 2: Convert to fraction form
    465.34/642.13 = 278.80/x
  3. Step 3: Cross multiply
    465.34x = 642.13 × 278.80
  4. Step 4: Simplify right side
    465.34x = 179,021.24
  5. Step 5: Solve for x
    x = 179,021.24/465.34
  6. Step 6: Final answer
    x = 384.71

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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.