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Finding the Fourth Proportional to 384.14, 575.80 and 363.89

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Solution

The fourth proportional to 384.14, 575.80 and 363.89 is: 545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.14 : 575.80 = 363.89 : x
  2. Step 2: Convert to fraction form
    384.14/575.80 = 363.89/x
  3. Step 3: Cross multiply
    384.14x = 575.80 × 363.89
  4. Step 4: Simplify right side
    384.14x = 209,527.86
  5. Step 5: Solve for x
    x = 209,527.86/384.14
  6. Step 6: Final answer
    x = 545.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.