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Finding the Fourth Proportional to 315.01, 434.35 and 232.09

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Solution

The fourth proportional to 315.01, 434.35 and 232.09 is: 320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.01 : 434.35 = 232.09 : x
  2. Step 2: Convert to fraction form
    315.01/434.35 = 232.09/x
  3. Step 3: Cross multiply
    315.01x = 434.35 × 232.09
  4. Step 4: Simplify right side
    315.01x = 100,808.29
  5. Step 5: Solve for x
    x = 100,808.29/315.01
  6. Step 6: Final answer
    x = 320.02

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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.