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Finding the Fourth Proportional to 283.65, 391.10 and 242.07

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Solution

The fourth proportional to 283.65, 391.10 and 242.07 is: 333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.65 : 391.10 = 242.07 : x
  2. Step 2: Convert to fraction form
    283.65/391.10 = 242.07/x
  3. Step 3: Cross multiply
    283.65x = 391.10 × 242.07
  4. Step 4: Simplify right side
    283.65x = 94,673.58
  5. Step 5: Solve for x
    x = 94,673.58/283.65
  6. Step 6: Final answer
    x = 333.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.