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Finding the Fourth Proportional to 432.01, 647.87 and 215.44

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Solution

The fourth proportional to 432.01, 647.87 and 215.44 is: 323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.01 : 647.87 = 215.44 : x
  2. Step 2: Convert to fraction form
    432.01/647.87 = 215.44/x
  3. Step 3: Cross multiply
    432.01x = 647.87 × 215.44
  4. Step 4: Simplify right side
    432.01x = 139,574.42
  5. Step 5: Solve for x
    x = 139,574.42/432.01
  6. Step 6: Final answer
    x = 323.08

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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.