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Finding the Fourth Proportional to 260.94, 389.53 and 242.71

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Solution

The fourth proportional to 260.94, 389.53 and 242.71 is: 362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 389.53 = 242.71 : x
  2. Step 2: Convert to fraction form
    260.94/389.53 = 242.71/x
  3. Step 3: Cross multiply
    260.94x = 389.53 × 242.71
  4. Step 4: Simplify right side
    260.94x = 94,543.43
  5. Step 5: Solve for x
    x = 94,543.43/260.94
  6. Step 6: Final answer
    x = 362.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.