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Finding the Fourth Proportional to 261.07, 389.71 and 249.23

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Solution

The fourth proportional to 261.07, 389.71 and 249.23 is: 372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.07 : 389.71 = 249.23 : x
  2. Step 2: Convert to fraction form
    261.07/389.71 = 249.23/x
  3. Step 3: Cross multiply
    261.07x = 389.71 × 249.23
  4. Step 4: Simplify right side
    261.07x = 97,126.52
  5. Step 5: Solve for x
    x = 97,126.52/261.07
  6. Step 6: Final answer
    x = 372.03

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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.