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Finding the Fourth Proportional to 315.32, 434.68 and 232.28

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Solution

The fourth proportional to 315.32, 434.68 and 232.28 is: 320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.32 : 434.68 = 232.28 : x
  2. Step 2: Convert to fraction form
    315.32/434.68 = 232.28/x
  3. Step 3: Cross multiply
    315.32x = 434.68 × 232.28
  4. Step 4: Simplify right side
    315.32x = 100,967.47
  5. Step 5: Solve for x
    x = 100,967.47/315.32
  6. Step 6: Final answer
    x = 320.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.