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Finding the Fourth Proportional to 315.96, 472.08 and 233.34

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Solution

The fourth proportional to 315.96, 472.08 and 233.34 is: 348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 472.08 = 233.34 : x
  2. Step 2: Convert to fraction form
    315.96/472.08 = 233.34/x
  3. Step 3: Cross multiply
    315.96x = 472.08 × 233.34
  4. Step 4: Simplify right side
    315.96x = 110,155.15
  5. Step 5: Solve for x
    x = 110,155.15/315.96
  6. Step 6: Final answer
    x = 348.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.