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Finding the Fourth Proportional to 357.12, 538.24 and 337.26

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Solution

The fourth proportional to 357.12, 538.24 and 337.26 is: 508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.12 : 538.24 = 337.26 : x
  2. Step 2: Convert to fraction form
    357.12/538.24 = 337.26/x
  3. Step 3: Cross multiply
    357.12x = 538.24 × 337.26
  4. Step 4: Simplify right side
    357.12x = 181,526.82
  5. Step 5: Solve for x
    x = 181,526.82/357.12
  6. Step 6: Final answer
    x = 508.31

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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.