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Finding the Fourth Proportional to 351.84, 482.16 and 317.28

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Solution

The fourth proportional to 351.84, 482.16 and 317.28 is: 434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 482.16 = 317.28 : x
  2. Step 2: Convert to fraction form
    351.84/482.16 = 317.28/x
  3. Step 3: Cross multiply
    351.84x = 482.16 × 317.28
  4. Step 4: Simplify right side
    351.84x = 152,979.72
  5. Step 5: Solve for x
    x = 152,979.72/351.84
  6. Step 6: Final answer
    x = 434.80

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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.