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Finding the Fourth Proportional to 430.08, 648.36 and 402.24

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Solution

The fourth proportional to 430.08, 648.36 and 402.24 is: 606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.08 : 648.36 = 402.24 : x
  2. Step 2: Convert to fraction form
    430.08/648.36 = 402.24/x
  3. Step 3: Cross multiply
    430.08x = 648.36 × 402.24
  4. Step 4: Simplify right side
    430.08x = 260,796.33
  5. Step 5: Solve for x
    x = 260,796.33/430.08
  6. Step 6: Final answer
    x = 606.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.