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Finding the Fourth Proportional to 315.09, 432.27 and 271.35

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Solution

The fourth proportional to 315.09, 432.27 and 271.35 is: 372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 432.27 = 271.35 : x
  2. Step 2: Convert to fraction form
    315.09/432.27 = 271.35/x
  3. Step 3: Cross multiply
    315.09x = 432.27 × 271.35
  4. Step 4: Simplify right side
    315.09x = 117,296.46
  5. Step 5: Solve for x
    x = 117,296.46/315.09
  6. Step 6: Final answer
    x = 372.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.