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Finding the Fourth Proportional to 388.81, 582.42 and 242.08

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Solution

The fourth proportional to 388.81, 582.42 and 242.08 is: 362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.81 : 582.42 = 242.08 : x
  2. Step 2: Convert to fraction form
    388.81/582.42 = 242.08/x
  3. Step 3: Cross multiply
    388.81x = 582.42 × 242.08
  4. Step 4: Simplify right side
    388.81x = 140,992.23
  5. Step 5: Solve for x
    x = 140,992.23/388.81
  6. Step 6: Final answer
    x = 362.63

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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.