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Finding the Fourth Proportional to 312.44, 431.26 and 302.18

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Solution

The fourth proportional to 312.44, 431.26 and 302.18 is: 417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.44 : 431.26 = 302.18 : x
  2. Step 2: Convert to fraction form
    312.44/431.26 = 302.18/x
  3. Step 3: Cross multiply
    312.44x = 431.26 × 302.18
  4. Step 4: Simplify right side
    312.44x = 130,315.24
  5. Step 5: Solve for x
    x = 130,315.24/312.44
  6. Step 6: Final answer
    x = 417.10

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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.