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Finding the Fourth Proportional to 380.38, 527.51 and 368.04

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Solution

The fourth proportional to 380.38, 527.51 and 368.04 is: 510.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.38 : 527.51 = 368.04 : x
  2. Step 2: Convert to fraction form
    380.38/527.51 = 368.04/x
  3. Step 3: Cross multiply
    380.38x = 527.51 × 368.04
  4. Step 4: Simplify right side
    380.38x = 194,144.78
  5. Step 5: Solve for x
    x = 194,144.78/380.38
  6. Step 6: Final answer
    x = 510.40

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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.