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Finding the Fourth Proportional to 432.13, 647.01 and 302.26

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Solution

The fourth proportional to 432.13, 647.01 and 302.26 is: 452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.13 : 647.01 = 302.26 : x
  2. Step 2: Convert to fraction form
    432.13/647.01 = 302.26/x
  3. Step 3: Cross multiply
    432.13x = 647.01 × 302.26
  4. Step 4: Simplify right side
    432.13x = 195,560.87
  5. Step 5: Solve for x
    x = 195,560.87/432.13
  6. Step 6: Final answer
    x = 452.56

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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.