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Finding the Fourth Proportional to 340.12, 509.68 and 186.08

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Solution

The fourth proportional to 340.12, 509.68 and 186.08 is: 278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.12 : 509.68 = 186.08 : x
  2. Step 2: Convert to fraction form
    340.12/509.68 = 186.08/x
  3. Step 3: Cross multiply
    340.12x = 509.68 × 186.08
  4. Step 4: Simplify right side
    340.12x = 94,841.25
  5. Step 5: Solve for x
    x = 94,841.25/340.12
  6. Step 6: Final answer
    x = 278.85

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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.