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Finding the Fourth Proportional to 430.36, 645.06 and 213.95

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Solution

The fourth proportional to 430.36, 645.06 and 213.95 is: 320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.36 : 645.06 = 213.95 : x
  2. Step 2: Convert to fraction form
    430.36/645.06 = 213.95/x
  3. Step 3: Cross multiply
    430.36x = 645.06 × 213.95
  4. Step 4: Simplify right side
    430.36x = 138,010.59
  5. Step 5: Solve for x
    x = 138,010.59/430.36
  6. Step 6: Final answer
    x = 320.69

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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.