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Finding the Fourth Proportional to 357.71, 538.47 and 324.18

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Solution

The fourth proportional to 357.71, 538.47 and 324.18 is: 488.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.71 : 538.47 = 324.18 : x
  2. Step 2: Convert to fraction form
    357.71/538.47 = 324.18/x
  3. Step 3: Cross multiply
    357.71x = 538.47 × 324.18
  4. Step 4: Simplify right side
    357.71x = 174,561.20
  5. Step 5: Solve for x
    x = 174,561.20/357.71
  6. Step 6: Final answer
    x = 488.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.