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Finding the Fourth Proportional to 317.28, 434.64 and 297.60

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Solution

The fourth proportional to 317.28, 434.64 and 297.60 is: 407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.28 : 434.64 = 297.60 : x
  2. Step 2: Convert to fraction form
    317.28/434.64 = 297.60/x
  3. Step 3: Cross multiply
    317.28x = 434.64 × 297.60
  4. Step 4: Simplify right side
    317.28x = 129,348.86
  5. Step 5: Solve for x
    x = 129,348.86/317.28
  6. Step 6: Final answer
    x = 407.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.