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Finding the Fourth Proportional to 551.40, 760.96 and 364.56

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Solution

The fourth proportional to 551.40, 760.96 and 364.56 is: 503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.40 : 760.96 = 364.56 : x
  2. Step 2: Convert to fraction form
    551.40/760.96 = 364.56/x
  3. Step 3: Cross multiply
    551.40x = 760.96 × 364.56
  4. Step 4: Simplify right side
    551.40x = 277,411.77
  5. Step 5: Solve for x
    x = 277,411.77/551.40
  6. Step 6: Final answer
    x = 503.11

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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.