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Finding the Fourth Proportional to 427.20, 590.40 and 317.04

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Solution

The fourth proportional to 427.20, 590.40 and 317.04 is: 438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.20 : 590.40 = 317.04 : x
  2. Step 2: Convert to fraction form
    427.20/590.40 = 317.04/x
  3. Step 3: Cross multiply
    427.20x = 590.40 × 317.04
  4. Step 4: Simplify right side
    427.20x = 187,180.42
  5. Step 5: Solve for x
    x = 187,180.42/427.20
  6. Step 6: Final answer
    x = 438.16

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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.