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Finding the Fourth Proportional to 431.19, 595.10 and 281.97

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Solution

The fourth proportional to 431.19, 595.10 and 281.97 is: 389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.19 : 595.10 = 281.97 : x
  2. Step 2: Convert to fraction form
    431.19/595.10 = 281.97/x
  3. Step 3: Cross multiply
    431.19x = 595.10 × 281.97
  4. Step 4: Simplify right side
    431.19x = 167,801.05
  5. Step 5: Solve for x
    x = 167,801.05/431.19
  6. Step 6: Final answer
    x = 389.16

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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.