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Finding the Fourth Proportional to 432.84, 597.48 and 308.82

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Solution

The fourth proportional to 432.84, 597.48 and 308.82 is: 426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 597.48 = 308.82 : x
  2. Step 2: Convert to fraction form
    432.84/597.48 = 308.82/x
  3. Step 3: Cross multiply
    432.84x = 597.48 × 308.82
  4. Step 4: Simplify right side
    432.84x = 184,513.77
  5. Step 5: Solve for x
    x = 184,513.77/432.84
  6. Step 6: Final answer
    x = 426.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.