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Finding the Fourth Proportional to 365.18, 507.33 and 361.80

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Solution

The fourth proportional to 365.18, 507.33 and 361.80 is: 502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.18 : 507.33 = 361.80 : x
  2. Step 2: Convert to fraction form
    365.18/507.33 = 361.80/x
  3. Step 3: Cross multiply
    365.18x = 507.33 × 361.80
  4. Step 4: Simplify right side
    365.18x = 183,551.99
  5. Step 5: Solve for x
    x = 183,551.99/365.18
  6. Step 6: Final answer
    x = 502.64

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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.