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Finding the Fourth Proportional to 313.32, 432.12 and 229.40

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Solution

The fourth proportional to 313.32, 432.12 and 229.40 is: 316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.32 : 432.12 = 229.40 : x
  2. Step 2: Convert to fraction form
    313.32/432.12 = 229.40/x
  3. Step 3: Cross multiply
    313.32x = 432.12 × 229.40
  4. Step 4: Simplify right side
    313.32x = 99,128.33
  5. Step 5: Solve for x
    x = 99,128.33/313.32
  6. Step 6: Final answer
    x = 316.38

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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.