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Finding the Fourth Proportional to 312.07, 430.56 and 181.06

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Solution

The fourth proportional to 312.07, 430.56 and 181.06 is: 249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.07 : 430.56 = 181.06 : x
  2. Step 2: Convert to fraction form
    312.07/430.56 = 181.06/x
  3. Step 3: Cross multiply
    312.07x = 430.56 × 181.06
  4. Step 4: Simplify right side
    312.07x = 77,957.19
  5. Step 5: Solve for x
    x = 77,957.19/312.07
  6. Step 6: Final answer
    x = 249.81

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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.