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Finding the Fourth Proportional to 261.19, 388.26 and 253.42

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Solution

The fourth proportional to 261.19, 388.26 and 253.42 is: 376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.19 : 388.26 = 253.42 : x
  2. Step 2: Convert to fraction form
    261.19/388.26 = 253.42/x
  3. Step 3: Cross multiply
    261.19x = 388.26 × 253.42
  4. Step 4: Simplify right side
    261.19x = 98,391.88
  5. Step 5: Solve for x
    x = 98,391.88/261.19
  6. Step 6: Final answer
    x = 376.71

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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.