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Finding the Fourth Proportional to 465.12, 641.92 and 278.70

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Solution

The fourth proportional to 465.12, 641.92 and 278.70 is: 384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.12 : 641.92 = 278.70 : x
  2. Step 2: Convert to fraction form
    465.12/641.92 = 278.70/x
  3. Step 3: Cross multiply
    465.12x = 641.92 × 278.70
  4. Step 4: Simplify right side
    465.12x = 178,903.10
  5. Step 5: Solve for x
    x = 178,903.10/465.12
  6. Step 6: Final answer
    x = 384.64

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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.