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Finding the Fourth Proportional to 315.96, 473.61 and 120.91

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Solution

The fourth proportional to 315.96, 473.61 and 120.91 is: 181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 473.61 = 120.91 : x
  2. Step 2: Convert to fraction form
    315.96/473.61 = 120.91/x
  3. Step 3: Cross multiply
    315.96x = 473.61 × 120.91
  4. Step 4: Simplify right side
    315.96x = 57,263.01
  5. Step 5: Solve for x
    x = 57,263.01/315.96
  6. Step 6: Final answer
    x = 181.24

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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.