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Finding the Fourth Proportional to 445.51, 614.66 and 288.23

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Solution

The fourth proportional to 445.51, 614.66 and 288.23 is: 397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.51 : 614.66 = 288.23 : x
  2. Step 2: Convert to fraction form
    445.51/614.66 = 288.23/x
  3. Step 3: Cross multiply
    445.51x = 614.66 × 288.23
  4. Step 4: Simplify right side
    445.51x = 177,163.45
  5. Step 5: Solve for x
    x = 177,163.45/445.51
  6. Step 6: Final answer
    x = 397.66

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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.