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Finding the Fourth Proportional to 399.84, 552.48 and 312.48

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Solution

The fourth proportional to 399.84, 552.48 and 312.48 is: 431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.84 : 552.48 = 312.48 : x
  2. Step 2: Convert to fraction form
    399.84/552.48 = 312.48/x
  3. Step 3: Cross multiply
    399.84x = 552.48 × 312.48
  4. Step 4: Simplify right side
    399.84x = 172,638.95
  5. Step 5: Solve for x
    x = 172,638.95/399.84
  6. Step 6: Final answer
    x = 431.77

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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.