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Finding the Fourth Proportional to 358.40, 534.22 and 319.14

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Solution

The fourth proportional to 358.40, 534.22 and 319.14 is: 475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.40 : 534.22 = 319.14 : x
  2. Step 2: Convert to fraction form
    358.40/534.22 = 319.14/x
  3. Step 3: Cross multiply
    358.40x = 534.22 × 319.14
  4. Step 4: Simplify right side
    358.40x = 170,490.97
  5. Step 5: Solve for x
    x = 170,490.97/358.40
  6. Step 6: Final answer
    x = 475.70

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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.