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Finding the Fourth Proportional to 339.86, 468.53 and 229.16

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Solution

The fourth proportional to 339.86, 468.53 and 229.16 is: 315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.86 : 468.53 = 229.16 : x
  2. Step 2: Convert to fraction form
    339.86/468.53 = 229.16/x
  3. Step 3: Cross multiply
    339.86x = 468.53 × 229.16
  4. Step 4: Simplify right side
    339.86x = 107,365.71
  5. Step 5: Solve for x
    x = 107,365.71/339.86
  6. Step 6: Final answer
    x = 315.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.