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Finding the Fourth Proportional to 341.26, 510.15 and 254.54

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Solution

The fourth proportional to 341.26, 510.15 and 254.54 is: 380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.26 : 510.15 = 254.54 : x
  2. Step 2: Convert to fraction form
    341.26/510.15 = 254.54/x
  3. Step 3: Cross multiply
    341.26x = 510.15 × 254.54
  4. Step 4: Simplify right side
    341.26x = 129,854.38
  5. Step 5: Solve for x
    x = 129,854.38/341.26
  6. Step 6: Final answer
    x = 380.51

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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.