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Finding the Fourth Proportional to 367.71, 551.66 and 260.18

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Solution

The fourth proportional to 367.71, 551.66 and 260.18 is: 390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.71 : 551.66 = 260.18 : x
  2. Step 2: Convert to fraction form
    367.71/551.66 = 260.18/x
  3. Step 3: Cross multiply
    367.71x = 551.66 × 260.18
  4. Step 4: Simplify right side
    367.71x = 143,526.84
  5. Step 5: Solve for x
    x = 143,526.84/367.71
  6. Step 6: Final answer
    x = 390.33

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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.