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Finding the Fourth Proportional to 364.04, 542.38 and 345.68

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Solution

The fourth proportional to 364.04, 542.38 and 345.68 is: 515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.04 : 542.38 = 345.68 : x
  2. Step 2: Convert to fraction form
    364.04/542.38 = 345.68/x
  3. Step 3: Cross multiply
    364.04x = 542.38 × 345.68
  4. Step 4: Simplify right side
    364.04x = 187,489.92
  5. Step 5: Solve for x
    x = 187,489.92/364.04
  6. Step 6: Final answer
    x = 515.03

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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.