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Finding the Fourth Proportional to 356.10, 534.30 and 254.04

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Solution

The fourth proportional to 356.10, 534.30 and 254.04 is: 381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.10 : 534.30 = 254.04 : x
  2. Step 2: Convert to fraction form
    356.10/534.30 = 254.04/x
  3. Step 3: Cross multiply
    356.10x = 534.30 × 254.04
  4. Step 4: Simplify right side
    356.10x = 135,733.57
  5. Step 5: Solve for x
    x = 135,733.57/356.10
  6. Step 6: Final answer
    x = 381.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.