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Finding the Fourth Proportional to 380.02, 524.23 and 330.16

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Solution

The fourth proportional to 380.02, 524.23 and 330.16 is: 455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.02 : 524.23 = 330.16 : x
  2. Step 2: Convert to fraction form
    380.02/524.23 = 330.16/x
  3. Step 3: Cross multiply
    380.02x = 524.23 × 330.16
  4. Step 4: Simplify right side
    380.02x = 173,079.78
  5. Step 5: Solve for x
    x = 173,079.78/380.02
  6. Step 6: Final answer
    x = 455.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.