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Finding the Fourth Proportional to 312.84, 432.18 and 274.44

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Solution

The fourth proportional to 312.84, 432.18 and 274.44 is: 379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 432.18 = 274.44 : x
  2. Step 2: Convert to fraction form
    312.84/432.18 = 274.44/x
  3. Step 3: Cross multiply
    312.84x = 432.18 × 274.44
  4. Step 4: Simplify right side
    312.84x = 118,607.48
  5. Step 5: Solve for x
    x = 118,607.48/312.84
  6. Step 6: Final answer
    x = 379.13

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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.