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Finding the Fourth Proportional to 440.90, 608.10 and 293.72

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Solution

The fourth proportional to 440.90, 608.10 and 293.72 is: 405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.90 : 608.10 = 293.72 : x
  2. Step 2: Convert to fraction form
    440.90/608.10 = 293.72/x
  3. Step 3: Cross multiply
    440.90x = 608.10 × 293.72
  4. Step 4: Simplify right side
    440.90x = 178,612.65
  5. Step 5: Solve for x
    x = 178,612.65/440.90
  6. Step 6: Final answer
    x = 405.11

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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.