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Finding the Fourth Proportional to 334.61, 503.76 and 261.87

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Solution

The fourth proportional to 334.61, 503.76 and 261.87 is: 394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.61 : 503.76 = 261.87 : x
  2. Step 2: Convert to fraction form
    334.61/503.76 = 261.87/x
  3. Step 3: Cross multiply
    334.61x = 503.76 × 261.87
  4. Step 4: Simplify right side
    334.61x = 131,919.63
  5. Step 5: Solve for x
    x = 131,919.63/334.61
  6. Step 6: Final answer
    x = 394.25

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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.