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Finding the Fourth Proportional to 315.96, 474.78 and 264.84

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Solution

The fourth proportional to 315.96, 474.78 and 264.84 is: 397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 474.78 = 264.84 : x
  2. Step 2: Convert to fraction form
    315.96/474.78 = 264.84/x
  3. Step 3: Cross multiply
    315.96x = 474.78 × 264.84
  4. Step 4: Simplify right side
    315.96x = 125,740.74
  5. Step 5: Solve for x
    x = 125,740.74/315.96
  6. Step 6: Final answer
    x = 397.96

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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.