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Finding the Fourth Proportional to 357.23, 532.14 and 325.64

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Solution

The fourth proportional to 357.23, 532.14 and 325.64 is: 485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.23 : 532.14 = 325.64 : x
  2. Step 2: Convert to fraction form
    357.23/532.14 = 325.64/x
  3. Step 3: Cross multiply
    357.23x = 532.14 × 325.64
  4. Step 4: Simplify right side
    357.23x = 173,283.41
  5. Step 5: Solve for x
    x = 173,283.41/357.23
  6. Step 6: Final answer
    x = 485.08

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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.