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Finding the Fourth Proportional to 357.17, 532.91 and 322.68

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Solution

The fourth proportional to 357.17, 532.91 and 322.68 is: 481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.17 : 532.91 = 322.68 : x
  2. Step 2: Convert to fraction form
    357.17/532.91 = 322.68/x
  3. Step 3: Cross multiply
    357.17x = 532.91 × 322.68
  4. Step 4: Simplify right side
    357.17x = 171,957.79
  5. Step 5: Solve for x
    x = 171,957.79/357.17
  6. Step 6: Final answer
    x = 481.45

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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.