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Finding the Fourth Proportional to 312.48, 430.56 and 293.04

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Solution

The fourth proportional to 312.48, 430.56 and 293.04 is: 403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.48 : 430.56 = 293.04 : x
  2. Step 2: Convert to fraction form
    312.48/430.56 = 293.04/x
  3. Step 3: Cross multiply
    312.48x = 430.56 × 293.04
  4. Step 4: Simplify right side
    312.48x = 126,171.30
  5. Step 5: Solve for x
    x = 126,171.30/312.48
  6. Step 6: Final answer
    x = 403.77

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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.