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Finding the Fourth Proportional to 315.70, 470.42 and 283.39

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Solution

The fourth proportional to 315.70, 470.42 and 283.39 is: 422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.70 : 470.42 = 283.39 : x
  2. Step 2: Convert to fraction form
    315.70/470.42 = 283.39/x
  3. Step 3: Cross multiply
    315.70x = 470.42 × 283.39
  4. Step 4: Simplify right side
    315.70x = 133,312.32
  5. Step 5: Solve for x
    x = 133,312.32/315.70
  6. Step 6: Final answer
    x = 422.28

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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.