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Finding the Fourth Proportional to 445.68, 614.54 and 312.86

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Solution

The fourth proportional to 445.68, 614.54 and 312.86 is: 431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.68 : 614.54 = 312.86 : x
  2. Step 2: Convert to fraction form
    445.68/614.54 = 312.86/x
  3. Step 3: Cross multiply
    445.68x = 614.54 × 312.86
  4. Step 4: Simplify right side
    445.68x = 192,264.98
  5. Step 5: Solve for x
    x = 192,264.98/445.68
  6. Step 6: Final answer
    x = 431.40

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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.