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Finding the Fourth Proportional to 315.89, 473.91 and 110.48

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Solution

The fourth proportional to 315.89, 473.91 and 110.48 is: 165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.89 : 473.91 = 110.48 : x
  2. Step 2: Convert to fraction form
    315.89/473.91 = 110.48/x
  3. Step 3: Cross multiply
    315.89x = 473.91 × 110.48
  4. Step 4: Simplify right side
    315.89x = 52,356.44
  5. Step 5: Solve for x
    x = 52,356.44/315.89
  6. Step 6: Final answer
    x = 165.74

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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.