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Finding the Fourth Proportional to 340.29, 509.29 and 185.81

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Solution

The fourth proportional to 340.29, 509.29 and 185.81 is: 278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.29 : 509.29 = 185.81 : x
  2. Step 2: Convert to fraction form
    340.29/509.29 = 185.81/x
  3. Step 3: Cross multiply
    340.29x = 509.29 × 185.81
  4. Step 4: Simplify right side
    340.29x = 94,628.16
  5. Step 5: Solve for x
    x = 94,628.16/340.29
  6. Step 6: Final answer
    x = 278.08

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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.