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Finding the Fourth Proportional to 366.10, 507.26 and 358.31

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Solution

The fourth proportional to 366.10, 507.26 and 358.31 is: 496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.10 : 507.26 = 358.31 : x
  2. Step 2: Convert to fraction form
    366.10/507.26 = 358.31/x
  3. Step 3: Cross multiply
    366.10x = 507.26 × 358.31
  4. Step 4: Simplify right side
    366.10x = 181,756.33
  5. Step 5: Solve for x
    x = 181,756.33/366.10
  6. Step 6: Final answer
    x = 496.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.