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Finding the Fourth Proportional to 282.04, 388.90 and 242.65

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Solution

The fourth proportional to 282.04, 388.90 and 242.65 is: 334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.04 : 388.90 = 242.65 : x
  2. Step 2: Convert to fraction form
    282.04/388.90 = 242.65/x
  3. Step 3: Cross multiply
    282.04x = 388.90 × 242.65
  4. Step 4: Simplify right side
    282.04x = 94,366.59
  5. Step 5: Solve for x
    x = 94,366.59/282.04
  6. Step 6: Final answer
    x = 334.59

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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.