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Finding the Fourth Proportional to 340, 509.93 and 120.56

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Solution

The fourth proportional to 340, 509.93 and 120.56 is: 180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340 : 509.93 = 120.56 : x
  2. Step 2: Convert to fraction form
    340/509.93 = 120.56/x
  3. Step 3: Cross multiply
    340x = 509.93 × 120.56
  4. Step 4: Simplify right side
    340x = 61,477.16
  5. Step 5: Solve for x
    x = 61,477.16/340
  6. Step 6: Final answer
    x = 180.82

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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.