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Finding the Fourth Proportional to 431.31, 595.47 and 299.28

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Solution

The fourth proportional to 431.31, 595.47 and 299.28 is: 413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.31 : 595.47 = 299.28 : x
  2. Step 2: Convert to fraction form
    431.31/595.47 = 299.28/x
  3. Step 3: Cross multiply
    431.31x = 595.47 × 299.28
  4. Step 4: Simplify right side
    431.31x = 178,212.26
  5. Step 5: Solve for x
    x = 178,212.26/431.31
  6. Step 6: Final answer
    x = 413.19

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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.