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Finding the Fourth Proportional to 431.12, 645.59 and 214.13

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Solution

The fourth proportional to 431.12, 645.59 and 214.13 is: 320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.12 : 645.59 = 214.13 : x
  2. Step 2: Convert to fraction form
    431.12/645.59 = 214.13/x
  3. Step 3: Cross multiply
    431.12x = 645.59 × 214.13
  4. Step 4: Simplify right side
    431.12x = 138,235.89
  5. Step 5: Solve for x
    x = 138,235.89/431.12
  6. Step 6: Final answer
    x = 320.65

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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.