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Finding the Fourth Proportional to 341.29, 510.78 and 186.81

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Solution

The fourth proportional to 341.29, 510.78 and 186.81 is: 279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.29 : 510.78 = 186.81 : x
  2. Step 2: Convert to fraction form
    341.29/510.78 = 186.81/x
  3. Step 3: Cross multiply
    341.29x = 510.78 × 186.81
  4. Step 4: Simplify right side
    341.29x = 95,418.81
  5. Step 5: Solve for x
    x = 95,418.81/341.29
  6. Step 6: Final answer
    x = 279.58

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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.