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Finding the Fourth Proportional to 432.27, 645.71 and 309.56

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Solution

The fourth proportional to 432.27, 645.71 and 309.56 is: 462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.27 : 645.71 = 309.56 : x
  2. Step 2: Convert to fraction form
    432.27/645.71 = 309.56/x
  3. Step 3: Cross multiply
    432.27x = 645.71 × 309.56
  4. Step 4: Simplify right side
    432.27x = 199,881.21
  5. Step 5: Solve for x
    x = 199,881.21/432.27
  6. Step 6: Final answer
    x = 462.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.