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Finding the Fourth Proportional to 287.56, 430.98 and 172

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Solution

The fourth proportional to 287.56, 430.98 and 172 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.56 : 430.98 = 172 : x
  2. Step 2: Convert to fraction form
    287.56/430.98 = 172/x
  3. Step 3: Cross multiply
    287.56x = 430.98 × 172
  4. Step 4: Simplify right side
    287.56x = 74,128.56
  5. Step 5: Solve for x
    x = 74,128.56/287.56
  6. Step 6: Final answer
    x = 257.78

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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.