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Finding the Fourth Proportional to 340.10, 509.86 and 123.64

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Solution

The fourth proportional to 340.10, 509.86 and 123.64 is: 185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.10 : 509.86 = 123.64 : x
  2. Step 2: Convert to fraction form
    340.10/509.86 = 123.64/x
  3. Step 3: Cross multiply
    340.10x = 509.86 × 123.64
  4. Step 4: Simplify right side
    340.10x = 63,039.09
  5. Step 5: Solve for x
    x = 63,039.09/340.10
  6. Step 6: Final answer
    x = 185.35

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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.