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Finding the Fourth Proportional to 425.64, 638.46 and 242.76

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Solution

The fourth proportional to 425.64, 638.46 and 242.76 is: 364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.64 : 638.46 = 242.76 : x
  2. Step 2: Convert to fraction form
    425.64/638.46 = 242.76/x
  3. Step 3: Cross multiply
    425.64x = 638.46 × 242.76
  4. Step 4: Simplify right side
    425.64x = 154,992.55
  5. Step 5: Solve for x
    x = 154,992.55/425.64
  6. Step 6: Final answer
    x = 364.14

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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.