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Finding the Fourth Proportional to 315.35, 470.20 and 283.89

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Solution

The fourth proportional to 315.35, 470.20 and 283.89 is: 423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.35 : 470.20 = 283.89 : x
  2. Step 2: Convert to fraction form
    315.35/470.20 = 283.89/x
  3. Step 3: Cross multiply
    315.35x = 470.20 × 283.89
  4. Step 4: Simplify right side
    315.35x = 133,485.08
  5. Step 5: Solve for x
    x = 133,485.08/315.35
  6. Step 6: Final answer
    x = 423.29

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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.