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Finding the Fourth Proportional to 407.36, 606.46 and 402.50

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Solution

The fourth proportional to 407.36, 606.46 and 402.50 is: 599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.36 : 606.46 = 402.50 : x
  2. Step 2: Convert to fraction form
    407.36/606.46 = 402.50/x
  3. Step 3: Cross multiply
    407.36x = 606.46 × 402.50
  4. Step 4: Simplify right side
    407.36x = 244,100.15
  5. Step 5: Solve for x
    x = 244,100.15/407.36
  6. Step 6: Final answer
    x = 599.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.