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Finding the Fourth Proportional to 445.35, 614.04 and 314.13

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Solution

The fourth proportional to 445.35, 614.04 and 314.13 is: 433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.35 : 614.04 = 314.13 : x
  2. Step 2: Convert to fraction form
    445.35/614.04 = 314.13/x
  3. Step 3: Cross multiply
    445.35x = 614.04 × 314.13
  4. Step 4: Simplify right side
    445.35x = 192,888.39
  5. Step 5: Solve for x
    x = 192,888.39/445.35
  6. Step 6: Final answer
    x = 433.12

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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.