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Finding the Fourth Proportional to 430.88, 593.41 and 371.48

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Solution

The fourth proportional to 430.88, 593.41 and 371.48 is: 511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.88 : 593.41 = 371.48 : x
  2. Step 2: Convert to fraction form
    430.88/593.41 = 371.48/x
  3. Step 3: Cross multiply
    430.88x = 593.41 × 371.48
  4. Step 4: Simplify right side
    430.88x = 220,438.09
  5. Step 5: Solve for x
    x = 220,438.09/430.88
  6. Step 6: Final answer
    x = 511.60

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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.