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Finding the Fourth Proportional to 328.76, 493.84 and 207.11

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Solution

The fourth proportional to 328.76, 493.84 and 207.11 is: 311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.76 : 493.84 = 207.11 : x
  2. Step 2: Convert to fraction form
    328.76/493.84 = 207.11/x
  3. Step 3: Cross multiply
    328.76x = 493.84 × 207.11
  4. Step 4: Simplify right side
    328.76x = 102,278.84
  5. Step 5: Solve for x
    x = 102,278.84/328.76
  6. Step 6: Final answer
    x = 311.10

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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.