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Finding the Fourth Proportional to 399.10, 595.51 and 360.22

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Solution

The fourth proportional to 399.10, 595.51 and 360.22 is: 537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.10 : 595.51 = 360.22 : x
  2. Step 2: Convert to fraction form
    399.10/595.51 = 360.22/x
  3. Step 3: Cross multiply
    399.10x = 595.51 × 360.22
  4. Step 4: Simplify right side
    399.10x = 214,514.61
  5. Step 5: Solve for x
    x = 214,514.61/399.10
  6. Step 6: Final answer
    x = 537.50

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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.