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Finding the Fourth Proportional to 431.79, 595.59 and 311.97

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Solution

The fourth proportional to 431.79, 595.59 and 311.97 is: 430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.79 : 595.59 = 311.97 : x
  2. Step 2: Convert to fraction form
    431.79/595.59 = 311.97/x
  3. Step 3: Cross multiply
    431.79x = 595.59 × 311.97
  4. Step 4: Simplify right side
    431.79x = 185,806.21
  5. Step 5: Solve for x
    x = 185,806.21/431.79
  6. Step 6: Final answer
    x = 430.32

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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.