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Finding the Fourth Proportional to 303.42, 457.83 and 292.18

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Solution

The fourth proportional to 303.42, 457.83 and 292.18 is: 440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.42 : 457.83 = 292.18 : x
  2. Step 2: Convert to fraction form
    303.42/457.83 = 292.18/x
  3. Step 3: Cross multiply
    303.42x = 457.83 × 292.18
  4. Step 4: Simplify right side
    303.42x = 133,767.31
  5. Step 5: Solve for x
    x = 133,767.31/303.42
  6. Step 6: Final answer
    x = 440.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.