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Finding the Fourth Proportional to 410.03, 614.60 and 288.26

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Solution

The fourth proportional to 410.03, 614.60 and 288.26 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.03 : 614.60 = 288.26 : x
  2. Step 2: Convert to fraction form
    410.03/614.60 = 288.26/x
  3. Step 3: Cross multiply
    410.03x = 614.60 × 288.26
  4. Step 4: Simplify right side
    410.03x = 177,163.15
  5. Step 5: Solve for x
    x = 177,163.15/410.03
  6. Step 6: Final answer
    x = 432.07

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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.