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Finding the Fourth Proportional to 340.19, 509.71 and 186.23

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Solution

The fourth proportional to 340.19, 509.71 and 186.23 is: 279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.19 : 509.71 = 186.23 : x
  2. Step 2: Convert to fraction form
    340.19/509.71 = 186.23/x
  3. Step 3: Cross multiply
    340.19x = 509.71 × 186.23
  4. Step 4: Simplify right side
    340.19x = 94,919.81
  5. Step 5: Solve for x
    x = 94,919.81/340.19
  6. Step 6: Final answer
    x = 279.02

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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.