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Finding the Fourth Proportional to 443.75, 611.96 and 312.53

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Solution

The fourth proportional to 443.75, 611.96 and 312.53 is: 430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.75 : 611.96 = 312.53 : x
  2. Step 2: Convert to fraction form
    443.75/611.96 = 312.53/x
  3. Step 3: Cross multiply
    443.75x = 611.96 × 312.53
  4. Step 4: Simplify right side
    443.75x = 191,251.24
  5. Step 5: Solve for x
    x = 191,251.24/443.75
  6. Step 6: Final answer
    x = 430.99

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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.