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Finding the Fourth Proportional to 430.80, 591.42 and 371.76

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Solution

The fourth proportional to 430.80, 591.42 and 371.76 is: 510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.80 : 591.42 = 371.76 : x
  2. Step 2: Convert to fraction form
    430.80/591.42 = 371.76/x
  3. Step 3: Cross multiply
    430.80x = 591.42 × 371.76
  4. Step 4: Simplify right side
    430.80x = 219,866.30
  5. Step 5: Solve for x
    x = 219,866.30/430.80
  6. Step 6: Final answer
    x = 510.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.