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Finding the Fourth Proportional to 488.58, 674.16 and 278.76

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Solution

The fourth proportional to 488.58, 674.16 and 278.76 is: 384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.58 : 674.16 = 278.76 : x
  2. Step 2: Convert to fraction form
    488.58/674.16 = 278.76/x
  3. Step 3: Cross multiply
    488.58x = 674.16 × 278.76
  4. Step 4: Simplify right side
    488.58x = 187,928.84
  5. Step 5: Solve for x
    x = 187,928.84/488.58
  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.