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Finding the Fourth Proportional to 328.05, 491.59 and 242.13

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Solution

The fourth proportional to 328.05, 491.59 and 242.13 is: 362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.05 : 491.59 = 242.13 : x
  2. Step 2: Convert to fraction form
    328.05/491.59 = 242.13/x
  3. Step 3: Cross multiply
    328.05x = 491.59 × 242.13
  4. Step 4: Simplify right side
    328.05x = 119,028.69
  5. Step 5: Solve for x
    x = 119,028.69/328.05
  6. Step 6: Final answer
    x = 362.84

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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.