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Finding the Fourth Proportional to 399.70, 598.41 and 360.51

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Solution

The fourth proportional to 399.70, 598.41 and 360.51 is: 539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.70 : 598.41 = 360.51 : x
  2. Step 2: Convert to fraction form
    399.70/598.41 = 360.51/x
  3. Step 3: Cross multiply
    399.70x = 598.41 × 360.51
  4. Step 4: Simplify right side
    399.70x = 215,733.49
  5. Step 5: Solve for x
    x = 215,733.49/399.70
  6. Step 6: Final answer
    x = 539.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.