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Finding the Fourth Proportional to 314.63, 434.61 and 241.86

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Solution

The fourth proportional to 314.63, 434.61 and 241.86 is: 334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.63 : 434.61 = 241.86 : x
  2. Step 2: Convert to fraction form
    314.63/434.61 = 241.86/x
  3. Step 3: Cross multiply
    314.63x = 434.61 × 241.86
  4. Step 4: Simplify right side
    314.63x = 105,112.60
  5. Step 5: Solve for x
    x = 105,112.60/314.63
  6. Step 6: Final answer
    x = 334.08

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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.