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Finding the Fourth Proportional to 551.90, 761.30 and 365.31

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Solution

The fourth proportional to 551.90, 761.30 and 365.31 is: 503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 761.30 = 365.31 : x
  2. Step 2: Convert to fraction form
    551.90/761.30 = 365.31/x
  3. Step 3: Cross multiply
    551.90x = 761.30 × 365.31
  4. Step 4: Simplify right side
    551.90x = 278,108.68
  5. Step 5: Solve for x
    x = 278,108.68/551.90
  6. Step 6: Final answer
    x = 503.92

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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.