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Finding the Fourth Proportional to 312.12, 430.31 and 238.31

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Solution

The fourth proportional to 312.12, 430.31 and 238.31 is: 328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.12 : 430.31 = 238.31 : x
  2. Step 2: Convert to fraction form
    312.12/430.31 = 238.31/x
  3. Step 3: Cross multiply
    312.12x = 430.31 × 238.31
  4. Step 4: Simplify right side
    312.12x = 102,547.18
  5. Step 5: Solve for x
    x = 102,547.18/312.12
  6. Step 6: Final answer
    x = 328.55

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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.