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Finding the Fourth Proportional to 364.74, 542.19 and 353.82

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Solution

The fourth proportional to 364.74, 542.19 and 353.82 is: 525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.74 : 542.19 = 353.82 : x
  2. Step 2: Convert to fraction form
    364.74/542.19 = 353.82/x
  3. Step 3: Cross multiply
    364.74x = 542.19 × 353.82
  4. Step 4: Simplify right side
    364.74x = 191,837.67
  5. Step 5: Solve for x
    x = 191,837.67/364.74
  6. Step 6: Final answer
    x = 525.96

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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.