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Finding the Fourth Proportional to 317.43, 438.35 and 288.27

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Solution

The fourth proportional to 317.43, 438.35 and 288.27 is: 398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.43 : 438.35 = 288.27 : x
  2. Step 2: Convert to fraction form
    317.43/438.35 = 288.27/x
  3. Step 3: Cross multiply
    317.43x = 438.35 × 288.27
  4. Step 4: Simplify right side
    317.43x = 126,361.71
  5. Step 5: Solve for x
    x = 126,361.71/317.43
  6. Step 6: Final answer
    x = 398.08

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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.