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Finding the Fourth Proportional to 372.34, 513.65 and 289.30

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Solution

The fourth proportional to 372.34, 513.65 and 289.30 is: 399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.34 : 513.65 = 289.30 : x
  2. Step 2: Convert to fraction form
    372.34/513.65 = 289.30/x
  3. Step 3: Cross multiply
    372.34x = 513.65 × 289.30
  4. Step 4: Simplify right side
    372.34x = 148,598.95
  5. Step 5: Solve for x
    x = 148,598.95/372.34
  6. Step 6: Final answer
    x = 399.09

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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.