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Finding the Fourth Proportional to 384.30, 572.70 and 361.23

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Solution

The fourth proportional to 384.30, 572.70 and 361.23 is: 538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 572.70 = 361.23 : x
  2. Step 2: Convert to fraction form
    384.30/572.70 = 361.23/x
  3. Step 3: Cross multiply
    384.30x = 572.70 × 361.23
  4. Step 4: Simplify right side
    384.30x = 206,876.42
  5. Step 5: Solve for x
    x = 206,876.42/384.30
  6. Step 6: Final answer
    x = 538.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.