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Finding the Fourth Proportional to 317.68, 437.28 and 305.38

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Solution

The fourth proportional to 317.68, 437.28 and 305.38 is: 420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.68 : 437.28 = 305.38 : x
  2. Step 2: Convert to fraction form
    317.68/437.28 = 305.38/x
  3. Step 3: Cross multiply
    317.68x = 437.28 × 305.38
  4. Step 4: Simplify right side
    317.68x = 133,536.57
  5. Step 5: Solve for x
    x = 133,536.57/317.68
  6. Step 6: Final answer
    x = 420.35

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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.