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Finding the Fourth Proportional to 312.96, 469.76 and 120.64

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Solution

The fourth proportional to 312.96, 469.76 and 120.64 is: 181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 469.76 = 120.64 : x
  2. Step 2: Convert to fraction form
    312.96/469.76 = 120.64/x
  3. Step 3: Cross multiply
    312.96x = 469.76 × 120.64
  4. Step 4: Simplify right side
    312.96x = 56,671.85
  5. Step 5: Solve for x
    x = 56,671.85/312.96
  6. Step 6: Final answer
    x = 181.08

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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.