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Finding the Fourth Proportional to 445.07, 613.45 and 312.33

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Solution

The fourth proportional to 445.07, 613.45 and 312.33 is: 430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.07 : 613.45 = 312.33 : x
  2. Step 2: Convert to fraction form
    445.07/613.45 = 312.33/x
  3. Step 3: Cross multiply
    445.07x = 613.45 × 312.33
  4. Step 4: Simplify right side
    445.07x = 191,598.84
  5. Step 5: Solve for x
    x = 191,598.84/445.07
  6. Step 6: Final answer
    x = 430.49

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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.