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Finding the Fourth Proportional to 317.40, 438.06 and 268.20

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Solution

The fourth proportional to 317.40, 438.06 and 268.20 is: 370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.40 : 438.06 = 268.20 : x
  2. Step 2: Convert to fraction form
    317.40/438.06 = 268.20/x
  3. Step 3: Cross multiply
    317.40x = 438.06 × 268.20
  4. Step 4: Simplify right side
    317.40x = 117,487.69
  5. Step 5: Solve for x
    x = 117,487.69/317.40
  6. Step 6: Final answer
    x = 370.16

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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.