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Finding the Fourth Proportional to 204.76, 304.68 and 204.07

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Solution

The fourth proportional to 204.76, 304.68 and 204.07 is: 303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.76 : 304.68 = 204.07 : x
  2. Step 2: Convert to fraction form
    204.76/304.68 = 204.07/x
  3. Step 3: Cross multiply
    204.76x = 304.68 × 204.07
  4. Step 4: Simplify right side
    204.76x = 62,176.05
  5. Step 5: Solve for x
    x = 62,176.05/204.76
  6. Step 6: Final answer
    x = 303.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.