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Finding the Fourth Proportional to 383.71, 577.66 and 349.69

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Solution

The fourth proportional to 383.71, 577.66 and 349.69 is: 526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.71 : 577.66 = 349.69 : x
  2. Step 2: Convert to fraction form
    383.71/577.66 = 349.69/x
  3. Step 3: Cross multiply
    383.71x = 577.66 × 349.69
  4. Step 4: Simplify right side
    383.71x = 202,001.93
  5. Step 5: Solve for x
    x = 202,001.93/383.71
  6. Step 6: Final answer
    x = 526.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.