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Finding the Fourth Proportional to 484.93, 727.70 and 253.95

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Solution

The fourth proportional to 484.93, 727.70 and 253.95 is: 381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.93 : 727.70 = 253.95 : x
  2. Step 2: Convert to fraction form
    484.93/727.70 = 253.95/x
  3. Step 3: Cross multiply
    484.93x = 727.70 × 253.95
  4. Step 4: Simplify right side
    484.93x = 184,799.42
  5. Step 5: Solve for x
    x = 184,799.42/484.93
  6. Step 6: Final answer
    x = 381.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.