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Finding the Fourth Proportional to 365.72, 507.80 and 356.90

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Solution

The fourth proportional to 365.72, 507.80 and 356.90 is: 495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.72 : 507.80 = 356.90 : x
  2. Step 2: Convert to fraction form
    365.72/507.80 = 356.90/x
  3. Step 3: Cross multiply
    365.72x = 507.80 × 356.90
  4. Step 4: Simplify right side
    365.72x = 181,233.82
  5. Step 5: Solve for x
    x = 181,233.82/365.72
  6. Step 6: Final answer
    x = 495.55

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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.