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Finding the Fourth Proportional to 340.69, 510.22 and 186.39

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Solution

The fourth proportional to 340.69, 510.22 and 186.39 is: 279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.69 : 510.22 = 186.39 : x
  2. Step 2: Convert to fraction form
    340.69/510.22 = 186.39/x
  3. Step 3: Cross multiply
    340.69x = 510.22 × 186.39
  4. Step 4: Simplify right side
    340.69x = 95,097.82
  5. Step 5: Solve for x
    x = 95,097.82/340.69
  6. Step 6: Final answer
    x = 279.13

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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.