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Finding the Fourth Proportional to 440.93, 608.57 and 283.76

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Solution

The fourth proportional to 440.93, 608.57 and 283.76 is: 391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.93 : 608.57 = 283.76 : x
  2. Step 2: Convert to fraction form
    440.93/608.57 = 283.76/x
  3. Step 3: Cross multiply
    440.93x = 608.57 × 283.76
  4. Step 4: Simplify right side
    440.93x = 172,687.82
  5. Step 5: Solve for x
    x = 172,687.82/440.93
  6. Step 6: Final answer
    x = 391.64

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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.