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Finding the Fourth Proportional to 399.88, 597 and 342.12

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Solution

The fourth proportional to 399.88, 597 and 342.12 is: 510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.88 : 597 = 342.12 : x
  2. Step 2: Convert to fraction form
    399.88/597 = 342.12/x
  3. Step 3: Cross multiply
    399.88x = 597 × 342.12
  4. Step 4: Simplify right side
    399.88x = 204,245.64
  5. Step 5: Solve for x
    x = 204,245.64/399.88
  6. Step 6: Final answer
    x = 510.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.