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Finding the Fourth Proportional to 340.17, 509.95 and 123.59

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Solution

The fourth proportional to 340.17, 509.95 and 123.59 is: 185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.17 : 509.95 = 123.59 : x
  2. Step 2: Convert to fraction form
    340.17/509.95 = 123.59/x
  3. Step 3: Cross multiply
    340.17x = 509.95 × 123.59
  4. Step 4: Simplify right side
    340.17x = 63,024.72
  5. Step 5: Solve for x
    x = 63,024.72/340.17
  6. Step 6: Final answer
    x = 185.27

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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.