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Finding the Fourth Proportional to 430.32, 645.26 and 306.85

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Solution

The fourth proportional to 430.32, 645.26 and 306.85 is: 460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.32 : 645.26 = 306.85 : x
  2. Step 2: Convert to fraction form
    430.32/645.26 = 306.85/x
  3. Step 3: Cross multiply
    430.32x = 645.26 × 306.85
  4. Step 4: Simplify right side
    430.32x = 197,998.03
  5. Step 5: Solve for x
    x = 197,998.03/430.32
  6. Step 6: Final answer
    x = 460.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.