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Finding the Fourth Proportional to 430.12, 591.78 and 371.80

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Solution

The fourth proportional to 430.12, 591.78 and 371.80 is: 511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.12 : 591.78 = 371.80 : x
  2. Step 2: Convert to fraction form
    430.12/591.78 = 371.80/x
  3. Step 3: Cross multiply
    430.12x = 591.78 × 371.80
  4. Step 4: Simplify right side
    430.12x = 220,023.80
  5. Step 5: Solve for x
    x = 220,023.80/430.12
  6. Step 6: Final answer
    x = 511.54

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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.