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Finding the Fourth Proportional to 373.10, 514.28 and 284.28

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Solution

The fourth proportional to 373.10, 514.28 and 284.28 is: 391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.10 : 514.28 = 284.28 : x
  2. Step 2: Convert to fraction form
    373.10/514.28 = 284.28/x
  3. Step 3: Cross multiply
    373.10x = 514.28 × 284.28
  4. Step 4: Simplify right side
    373.10x = 146,198.10
  5. Step 5: Solve for x
    x = 146,198.10/373.10
  6. Step 6: Final answer
    x = 391.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.