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Finding the Fourth Proportional to 372.85, 514.71 and 289.76

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Solution

The fourth proportional to 372.85, 514.71 and 289.76 is: 400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.85 : 514.71 = 289.76 : x
  2. Step 2: Convert to fraction form
    372.85/514.71 = 289.76/x
  3. Step 3: Cross multiply
    372.85x = 514.71 × 289.76
  4. Step 4: Simplify right side
    372.85x = 149,142.37
  5. Step 5: Solve for x
    x = 149,142.37/372.85
  6. Step 6: Final answer
    x = 400.01

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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.