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Finding the Fourth Proportional to 384.51, 574.23 and 363.45

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Solution

The fourth proportional to 384.51, 574.23 and 363.45 is: 542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.51 : 574.23 = 363.45 : x
  2. Step 2: Convert to fraction form
    384.51/574.23 = 363.45/x
  3. Step 3: Cross multiply
    384.51x = 574.23 × 363.45
  4. Step 4: Simplify right side
    384.51x = 208,703.89
  5. Step 5: Solve for x
    x = 208,703.89/384.51
  6. Step 6: Final answer
    x = 542.78

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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.