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Finding the Fourth Proportional to 398.45, 594.19 and 357.50

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Solution

The fourth proportional to 398.45, 594.19 and 357.50 is: 533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.45 : 594.19 = 357.50 : x
  2. Step 2: Convert to fraction form
    398.45/594.19 = 357.50/x
  3. Step 3: Cross multiply
    398.45x = 594.19 × 357.50
  4. Step 4: Simplify right side
    398.45x = 212,422.93
  5. Step 5: Solve for x
    x = 212,422.93/398.45
  6. Step 6: Final answer
    x = 533.12

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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.