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Finding the Fourth Proportional to 356.82, 532.11 and 317.49

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Solution

The fourth proportional to 356.82, 532.11 and 317.49 is: 473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.82 : 532.11 = 317.49 : x
  2. Step 2: Convert to fraction form
    356.82/532.11 = 317.49/x
  3. Step 3: Cross multiply
    356.82x = 532.11 × 317.49
  4. Step 4: Simplify right side
    356.82x = 168,939.60
  5. Step 5: Solve for x
    x = 168,939.60/356.82
  6. Step 6: Final answer
    x = 473.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.