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Finding the Fourth Proportional to 349.17, 522.65 and 186.36

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Solution

The fourth proportional to 349.17, 522.65 and 186.36 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.17 : 522.65 = 186.36 : x
  2. Step 2: Convert to fraction form
    349.17/522.65 = 186.36/x
  3. Step 3: Cross multiply
    349.17x = 522.65 × 186.36
  4. Step 4: Simplify right side
    349.17x = 97,400.12
  5. Step 5: Solve for x
    x = 97,400.12/349.17
  6. Step 6: Final answer
    x = 278.95

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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.