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Finding the Fourth Proportional to 315.70, 434.91 and 302.20

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Solution

The fourth proportional to 315.70, 434.91 and 302.20 is: 416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.70 : 434.91 = 302.20 : x
  2. Step 2: Convert to fraction form
    315.70/434.91 = 302.20/x
  3. Step 3: Cross multiply
    315.70x = 434.91 × 302.20
  4. Step 4: Simplify right side
    315.70x = 131,429.80
  5. Step 5: Solve for x
    x = 131,429.80/315.70
  6. Step 6: Final answer
    x = 416.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.