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Finding the Fourth Proportional to 432.12, 647.08 and 215.13

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Solution

The fourth proportional to 432.12, 647.08 and 215.13 is: 322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.12 : 647.08 = 215.13 : x
  2. Step 2: Convert to fraction form
    432.12/647.08 = 215.13/x
  3. Step 3: Cross multiply
    432.12x = 647.08 × 215.13
  4. Step 4: Simplify right side
    432.12x = 139,206.32
  5. Step 5: Solve for x
    x = 139,206.32/432.12
  6. Step 6: Final answer
    x = 322.15

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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.