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Finding the Fourth Proportional to 340.41, 510.67 and 134.98

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Solution

The fourth proportional to 340.41, 510.67 and 134.98 is: 202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.41 : 510.67 = 134.98 : x
  2. Step 2: Convert to fraction form
    340.41/510.67 = 134.98/x
  3. Step 3: Cross multiply
    340.41x = 510.67 × 134.98
  4. Step 4: Simplify right side
    340.41x = 68,928.75
  5. Step 5: Solve for x
    x = 68,928.75/340.41
  6. Step 6: Final answer
    x = 202.49

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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.