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Finding the Fourth Proportional to 484.86, 728.18 and 253.91

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Solution

The fourth proportional to 484.86, 728.18 and 253.91 is: 381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.86 : 728.18 = 253.91 : x
  2. Step 2: Convert to fraction form
    484.86/728.18 = 253.91/x
  3. Step 3: Cross multiply
    484.86x = 728.18 × 253.91
  4. Step 4: Simplify right side
    484.86x = 184,892.18
  5. Step 5: Solve for x
    x = 184,892.18/484.86
  6. Step 6: Final answer
    x = 381.33

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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.