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Finding the Fourth Proportional to 287.56, 430.82 and 104.83

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Solution

The fourth proportional to 287.56, 430.82 and 104.83 is: 157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.56 : 430.82 = 104.83 : x
  2. Step 2: Convert to fraction form
    287.56/430.82 = 104.83/x
  3. Step 3: Cross multiply
    287.56x = 430.82 × 104.83
  4. Step 4: Simplify right side
    287.56x = 45,162.86
  5. Step 5: Solve for x
    x = 45,162.86/287.56
  6. Step 6: Final answer
    x = 157.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.