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Finding the Fourth Proportional to 443.07, 663.90 and 312.76

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Solution

The fourth proportional to 443.07, 663.90 and 312.76 is: 468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.07 : 663.90 = 312.76 : x
  2. Step 2: Convert to fraction form
    443.07/663.90 = 312.76/x
  3. Step 3: Cross multiply
    443.07x = 663.90 × 312.76
  4. Step 4: Simplify right side
    443.07x = 207,641.02
  5. Step 5: Solve for x
    x = 207,641.02/443.07
  6. Step 6: Final answer
    x = 468.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.