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Finding the Fourth Proportional to 383.02, 524.59 and 360.57

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Solution

The fourth proportional to 383.02, 524.59 and 360.57 is: 493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.02 : 524.59 = 360.57 : x
  2. Step 2: Convert to fraction form
    383.02/524.59 = 360.57/x
  3. Step 3: Cross multiply
    383.02x = 524.59 × 360.57
  4. Step 4: Simplify right side
    383.02x = 189,146.99
  5. Step 5: Solve for x
    x = 189,146.99/383.02
  6. Step 6: Final answer
    x = 493.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.