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Finding the Fourth Proportional to 484.51, 668.65 and 285.40

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Solution

The fourth proportional to 484.51, 668.65 and 285.40 is: 393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.51 : 668.65 = 285.40 : x
  2. Step 2: Convert to fraction form
    484.51/668.65 = 285.40/x
  3. Step 3: Cross multiply
    484.51x = 668.65 × 285.40
  4. Step 4: Simplify right side
    484.51x = 190,832.71
  5. Step 5: Solve for x
    x = 190,832.71/484.51
  6. Step 6: Final answer
    x = 393.87

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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.